Find the derivative of the image below

Find The Derivative Of The Image Below

Answers

Answer 1

[tex]~~~\dfrac{d}{dx} f(x) \\ \\=\dfrac{d}{dx} \left(x^3 \cdot \log_6 x \right)\\\\=x^3\dfrac{d}{dx} \left(\log_6 x\right) + \log_6 (x)\dfrac d{dx} x^3 \\\\=x^3 \cdot \dfrac 1{x \ln 6} + \log _6 (x) \cdot 3x^2\\\\=\dfrac{x^2}{\ln 6} + \log_6(x) \cdot 3x^2\\\\\\=x^2 \left(\dfrac 1{\ln 6} + 3\log_6 x \right)[/tex]

[tex]\text{The derivative is now in a form of}~ x^A (B + C \log_D (x))[/tex]


Related Questions

x – 5 ÷ 3 + b
6b + 15b ÷ 3
c - 2c × 4

PLEASE ANSWER ITS CONFUSING

Answers

Hey there!


Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

QUESTION/EQUATION #1

x - 5 ÷ 3 + b

We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.

So, thus your answer will most likely be/

[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

QUESTION/EQUATION #2

6b + 15b ÷ 3

= 21b ÷ 3

= 7b

Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3

c - 2c × 4

REWRITE

= 1c - 2c × 4

COMBINE the LIKE TERMS

= 1c - 7

= -7c
Thus, your answer is: [-7c]

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Read the sentence. Patriots, people who supported freedom from England, were especially angry when British soldiers overtook their homes. What type of phrase is people who supported freedom from England?

Appositive

Fragment

Participial

Prepositional

Answers

Answer: Fragment.

Step-by-step explanation:

A Fragment phrase can be defined as a sentence that resembles a sentence but lacks delivering a complete idea. This sentence serves as a dependent clause in a sentence.

The given sentence is an example of a fragment phrase or sentence. Though the phrase appears to be a sentence but it lacks complete idea because we don't know about which 'people' is it talking about.

write a quadratic function f whose only zero is 11

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here's the solution ~

To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !

Since our only root is 11 here, we have to do t double

[tex]\qquad \sf  \dashrightarrow \:(x - 11)(x - 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 11x - 11x + 121 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 22x + 121[/tex]

That's our required function ~ I hope you understood the whole thing !

A recipe calls for 4 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?
A. 1.6 cups
B. 2.5 cups
C. 6.4 cups
D. 10 cups

Answers

Therefore, 6.4 cups of pecans would be added to 8 cups of walnuts

A painter bought 14 gallons of paint just enough to cover 2 room

Answers

Answer:

7

Step-by-step explanation:

[tex]Based\ on\ the\ given\ conditions,\ formulate:[/tex]

[tex]14\div 2[/tex]

[tex]\frac{14}{2}[/tex]

Creoss out the common factor

[tex]7[/tex]

I hope this helps you

:)

If you should feed 1½ lbs of hay per 100 lbs of your horse’s body weight, how much should you feed a 1100 lb horse?
A. 23lbs
B. 16.5lbs
C. 13.6lbs
D. 7.5lbs

Answers

I think it's 16.5lbs I'm sorry if I'm wrong I don't know for sure

After 2 years, a certain car is worth $16600. When it is 9 years old, the same car is then worth
$9950.

Find the equation of the line in this situation.

Identify the slope for this situation and interpret it.


Identify the y - intercept for this situation and interpret it.


Identify the x - intercept for this situation and interpret it.

Answers

The linear function that describes the situation is:

y = -950x + 18500.

The slope of -950 means that the price of the car decays $950 per year.The y-intercept of 18500 means that the initial value of the car is of $18,500.The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:

m = -6650/7 = -950.

The slope of -950 means that the price of the car decays $950 per year.

Then, the equation is:

y = -950x + b.

After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:

16600 = -950(2) + b

b = 18500.

The equation is:

y = -950x + 18500.

The y-intercept of 18500 means that the initial value of the car is of $18,500.

The x-intercept is found when y = 0, hence:

-950x + 18500 = 0.

x = 18500/950

x = 19.47.

The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

More can be learned about linear functions at https://brainly.com/question/24808124

Carlos is saving for a new bike. he is paid $6.60 an hour and works 10 hours per week at his after-school job. If he saves 75% of the money he earns, how much does he save each week?

Answers

Answer:

16.50 per week

Step-by-step explanation:

6.60 times 10 equals 66 minus 75% equals 16.50

These numbers are common multiples of ________.
15, 30, 45, 60

A) 2 and 3
B) 3 and 5
C) 4 and 5
D) 3 and 4

Answers

B is the answerrRe.
.

Answer:

The answer is B.

Step-by-step explanation:

15÷3=5    15÷5=3

30÷3=10   30÷5=6

45÷3=15    45÷5=9

60÷3=20    60÷5=12

-77x - 78x = -155x

-66y - (-66y) = -66y + 66y = 0

264 - (-666) = 264 + 666 = 930

This leaves us with -155x = 930. Dividing by -155 on both sides, we find:

x = -6

Substitute x = -6 into one of the two original equations, solve for y, and then state the full solution to the system of equations.

Answers

Answer:

I don't understand

Step-by-step explanation:

You answer it.

Two students determined the value of this expression.

-2.5(1.4+3.1) + 6.9(-4.3)

These are the steps each student used.



Student P

Step 1: -3.5 + 7.75 + 6.9(-4.3)



Step 2: -3.5 + 7.75 - 29.67



Step 3: 7.75 - 3.5 - 29.6
Step 4: -25.42

Student Q
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q.

Answers

Let's solve

[tex]\\ \rm\rightarrowtail -2.5(1.4+3.1)+6.9(-4.3)[/tex]

[tex]\\ \rm\rightarrowtail -3.5-7.75-29.67[/tex]

[tex]\\ \rm\rightarrowtail -11.25-29.67[/tex]

[tex]\\ \rm\rightarrowtail -40.92[/tex]

Both did error in signs

Answer:

Given expression:

-2.5(1.4+3.1) + 6.9(-4.3)

Student P

Step 1:  -3.5 + 7.75 + 6.9(-4.3)

Step 2: -3.5 + 7.75 - 29.67

Step 3: 7.75 - 3.5 - 29.67

Step 4: -25.42

Student P made an error in step 1.  When expanding the first part of the expression, they forgot the negative sign when multiplying -2.5 by 3.1.  

So Step 1 should be:  -3.5 - 7.75 + 6.9(-4.3).  

This error then impacted all following steps and gave an incorrect final solution.

Student Q

Step 1: -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 - 7.75 - 29.67)

Step 4: -(-33.92)

Step 5: 33.92

Student Q made an error in step 3.  When placing the numbers in parentheses and placing a negative sign outside the parentheses, they should have changed the two negative signs inside the parentheses to positives.

So Step 3 should be: -(3.5 + 7.75 + 29.67).  

This error then impacted all following steps and gave an incorrect final solution.

Correct steps and solution

Step 1:  -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 + 7.75 + 29.67)

Step 4: -(40.92)

Step 5: -40.92

Can you be serious and more understanding about the home work

Answers

Answer:

yes

Step-by-step explanation:

is there a specific question?

Answer: All children should be doing homework. But the amount and quality should change." His basic prescription.

Step-by-step explanation:

If z7=4-3i, thenz7 is
Select one:
O-7
O 7
O 5
O -5

Answers

By using Euler's notation, we will see that:

z^7 = 78,125*e^(-i*4.48)

How to get z^7?

We know that:

z = 4 - 3i

Remember that for a complex number:

w = a + bi

In Euler's notation, we can write this as:

w = √(a^2 + b^2)*e^(i*Atan(b/a))

Then, for z, we will get:

z =  √(4^2 + (-3)^2)*e^(i*Atan(-3/4))

z = 5*e^(-i*0.64)

Now, if we apply an exponent of 7 to this number, we will get:

z^7 = ( 5*e^(-i*0.64))^7

z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)

If you want to learn more about complex numbers, you can read:

https://brainly.com/question/10662770

Does anyone know the answers? Need help!!

Answers

Answer:

nice handwriting

Step-by-step explanation:

This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?

Recipe: Serves 3
180 g onions
120 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 litres vegetable stock

Answers

Answer:

Step-by-step explanation:

To get one portion of soup, each ingredient should be divided by 3

Quantity of onion required=  180 ÷ 3 = 60 g

Quantity of carrots required = 120 ÷ 3 = 60 g

Oil = 3 ÷ 3 = 1 table spoon

Quantity of tomatoes required = 600 ÷ 3 = 300 g

Vegetable stock = 1.2 ÷ 3 = 0.4 litres

A passport consists of 2 letters followed by 2 digits. How many different passports can be formed?

Answers

67,600 different passwords can be formed.

26 x 26 x 10 x 10 = 67,600 (26 letters in the alphabet and 10 from 0-9)

Simplify (X-2)(x+3)(2x+1)

Answers

Answer:

Step-by-step explanation:

Use FOIL method.

(x -2)(x+3) = x*x + x*3 + (-2)*x + (-2)*3

                 = x² + 3x - 2x -6  {Combinelike terms}

                  = x² + x - 6

(x² + x -6)*(2x + 1) = x²*2x + x²*1 + x*2x +x*1 + (-6)*2x + (-6)*1

                             = 2x³ + x² + 2x² + x -12x - 6

                             = 2x³ + 3x² - 11x - 6

i need help please its due today

Answers

It would be 11/15 (11 over 15)

Chapter 1 Test
What is the simplified form of the expression 3 + 8x - 2y - x + 1 + 4y? Enter your answers in the boxes.
X +
ly+

Answers

Answer:

7x+4+2y is your answer

The average daily rainfall in Seattle for the month of June has a mean absolute deviation of 1.3 inches. What conclusion can you make about the average daily rainfall in Seattle for the month of June?

Answers

Using the mean absolute deviation, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.

What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the mean absolute deviation is of 1.3 inches, hence, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

Answer:

Step-by-step explanation:

Given that a= 6 cm and b = 5 cm, work out the area of the triangle.

Answers

Answer:

15cm²

Step-by-step explanation:

Area of a triangle: 1/2*b*h

a = height (6cm)

b = base (5cm)

A = 1/2* b * h

A = 1/2 * 5 * 6

A = 1/2 * 30

A = 15cm² <== final answer

Hope this helps!

Which transformation would create an image and a pre image that are similar figures?

Answers

The transformation which would create an image and pre image that are similar figures is dilation.

What is Similarity Transformation?

Similarity transformations are transformations where there occurs a dilation with one or more transformations like rotation, reflection or translation.

This is called so because the triangles so formed will be similar figures.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

When the pre image is reflected, rotated or translated, it is not affecting the shape and the size. So the image and the pre image will be congruent.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Dilation enlarges or reduces the size, so they are similar figures.

Hence dilation is the similar transformation.

Learn more about Similarity Transformations here :

https://brainly.com/question/28993652

#SPJ2

A High School’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team?

A. 4,760
B.2,240
C. 47,600
D. 5,512

Answers

Answer:

the answer is; 68% of 7000 which gives 4760 football fans rooting for the home team

mitchell has a small bag with 12 m& ms

Answers

Answer:

You may want to add more context to this question.

Step-by-step explanation:

helpppppppppppppppppppppppppp walk me thru

Answers

Answer:

i think its a trapazoid

Step-by-step explanation:

George wanted to measure the angle of a water slide at the lake. He used a sheet of folded paper that formed a 20° angle. He measured and found that three of the folded paper angles would fit in the angle made by the slide and the ground.

Which of the following was the angle of the water slide?

Answers

The angle of the water slide is 60 degrees.

The equation that models his work is 3 × 20 = 60 degrees.

How to find the sum of angles of a figure/object?

He wants to measure the angle of a water slide at the lake.

He used a sheet of folded paper that formed 20 degrees to measure the angle of the the water slide at the lake.

He noticed three folded paper angle fits in the angle made by the slide and the ground.

Since each angle is equals to 20 degrees, and the three fits into the angle made by the slide and the ground, the angle of the water slide is as follows:

20 × 3 = 60 degrees

learn more on angles here: https://brainly.com/question/16746032

three subtracted from five times a number is -39. what number is?

A) Translate the statement above into an equation that you can solve to answer this question, Do not solve it yet. Use x as your variable.
The equation is _____
B) Solve your equation in part {A} for x
.Answer x=

Answers

Answer:

A) 5x - 3= -39

B) 5x = -39 + 3

5x = -36

x = -36/ 5

x= -7.2

If 15 percent of cars are blue and an observer's observation is 80 percent accurate, what is the probability that a car is, in fact, blue when the witness reports it as blue

Answers

The probability that a car is blue is the likelihood of the car being blue

The probability that a car is, in fact, blue when the witness reports it as blue is 12%

How to determine the probability?

The given parameters are:

P(Blue) = 15%

P(Accurate) = 80%

The probability that a car is blue, and the observation is accurate is calculated as:

P(Blue and Accurate) = P(Blue) * P(Accurate)

This gives

P(Blue and Accurate) = 15% * 80%

Evaluate the product

P(Blue and Accurate) = 12%

Hence, the probability that a car is, in fact, blue when the witness reports it as blue is 12%

Read more about probability at:

https://brainly.com/question/25870256

a thousand dollars is left in a bank savings account drawing 7% interest, compounded quarterly for 10 years. what is the balance at the end of that time​

Answers

Answer:  $2001.60

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.07/4)^(4*10)

A = 2001.59734318603

A = 2001.60

This assumes that you do not withdraw any of the money over the course of the 10 years. Also, the interest rate must stay the same at 7%.

Which of the following equations are true for the number 5? (Select all that apply)
a 4 ÷ ⬜ = 4/5
b ⬜ ÷ 1/5 = 25
c 1/5 = ⬜ ÷ 5
d 4 ÷ ⬜ = 1/5

Answers

Answer:

A. True

B. True

C. False

D. False

Other Questions
Choose the conjunctionDid you help Joe or Sam?A)YouB)HelpC)OrWILL MARK BRAINALIST IF CORRECT ONLY Which equation can be used to find A, the area of the parallelogram shown? How could you correctly rewrite the equation 4(10 + 5) = 6 (12 - 2) using the distributive property? In at least 5 sentencesHow do we perform for different audiences? Explain why it was important and strategic for the Civil Rights Movement to expose the violence and dangers of racism to the world through their protests Which statements describe characteristics of a Renaissance man? Select all that apply.He can read and speak more than one language.He is extremely well-educated in math and science but not history or philosophy.He is an excellent swordsman.His education is focused on works produced in the modern era and not on those of classical civilizations. 99 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.Data Set 2 has a mean of 170.2 and a MAD of 1.7.What can be concluded about the two distributions?Select each correct answer.The means-to-MAD ratio is 10.The distributions are different.The distributions are somewhat similar.The means-to-MAD ratio is 7. 13. A mass of 1 kg undergoes simple harmonic motion with amplitude of 1 m. If the period of the oscillation is 1 s, calculate the internal energy of the system.Please show all of your work. 6 8/10 + 1 7/10 =please help meee ) Which expression represents the SUM of n and 12? What led to the Greeks being independent-minded? What is the name of the general ledger that tracks all bitcoin transactions?. Cardiorespiratory Endurance is the ability of the respiratory system to supply enough oxygen to sustain physical activity for a long period of time. Question 1 options:TrueFalse ASAP will give brainliest!Lenin's fight against capitalism was focused on the struggle between:1. oppressed classes and the interests of the people.2. workers and the interests of the people.3. capitalists and the bourgeois4. capitalists and landowners. please help me please What adaptation has the stigma developed that helps with fertilization? when your hand presses down on the fingernail clippers and clip your nails, what is the force of your hand on the clippers?A. the input forceb. the output forcec the gravitational force Need help with this question. Thirty points. (50 Points) Here is a picture of Abolitionist Propaganda that was routinely published in 'The Liberator'. In your own words, explain how this might have been used to persuade people to join the abolitionist movement. Pay attention to the phrase at the bottom of the photo.The phrase is, "Am I not a man and a brother" How can I find the value of X?