Please help ! I have been stuck on this calculus problems, I will mark you brainliest!​

Please Help ! I Have Been Stuck On This Calculus Problems, I Will Mark You Brainliest!

Answers

Answer 1

Answer:

[tex]\displaystyle J'(3) = -1[/tex]

General Formulas and Concepts:

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Derivative:                                                                                                                     [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle J(x) = e^{f(x)}[/tex]

Step 2: Differentiate

eˣ Derivative [Derivative Rule - Chain Rule]:                                                  [tex]\displaystyle J'(x) = \frac{d}{dx}[e^{f(x)}] \cdot \frac{d}{dx}[f(x)][/tex]Simplify:                                                                                                             [tex]\displaystyle J'(x) = f'(x)e^{f(x)}[/tex]

Step 3: Evaluate

Substitute in x [Derivative]:                                                                              [tex]\displaystyle J'(3) = f'(3)e^{f(3)}[/tex]Substitute in function values:                                                                          [tex]\displaystyle J'(3) = -e^{0}[/tex]Simplify:                                                                                                             [tex]\displaystyle J'(3) = -1[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e


Related Questions

help me pls asap its to hard my brains about to explode

Answers

Answer:

1. c = 5.75b + 25

2. y = -1/3 + 5

3. y = -1/2 + 5

4. y = I can't tell what the numbers are from the photo, but (B) will be where the line is on the y axis of the graph.

Y = MX + (B)

Edit: Okay assuming the graph is going in the directions by one, meaning 1, 2, 3, or -1, -2, -3, and not any other sequence.

The answer for question will be y = 1/2x -1

HELPPP ASAP!!!

How many cubes are in this set?

Answers

Answer:

7

Step-by-step explanation:

7 because it's not asking for squares it asking for cubes

Help please! Thank you will make brainly

Answers

Answer:

he can buy 7 video games

Step-by-step explanation:

Answer: He can buy up to 7 video games

Step-by-step explanation:

You can't buy .8 of a video game so you have to round down to the nearedt whole number which is 7

What does reduce mean and which scale factor could be an example of a reduction?

Answers

Answer:

The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. Reduce means to make smaller, to lessen a amount.

Step-by-step explanation:

An example of a scale factor of reduction is 1:25

Enlarging scale means that the drawing is larger than the actual object. Hence the representative fraction will be greater than unity. For reducing scale the representative fraction is less than unity.

So now looking at 1:25, we see it's a reduction scaling because it's fraction is less than unity.

And what 1:25 means is that 1 on paper while the actual size of the object is 25

I will give BRAINLIEST to WHOEVER GETS IT RIGHT and can you please tell me how you solve your answer!!!!!!!!!!!!!!
Find the output, k, when the input, x, is -5. k = 6x + 100
y=?

Answers

You would substitute -5 for x in the equation so it would be k=6(-5)+100 so k=70

I need help it's easy but not for me

Answers

Answer:

1. C. h = 2s + 75

2. J. c = 65m + 25

3. C. y = -3/5x + 3

4. F. T = 129c - 75

5. A. y = -0.5x -1

Drag each sequence to show whether it is a linear function, an exponential function, or
not a function.


I will give you 20 brainiest points!! Please help.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Option A

From the given table,

Ratio of the 2nd value and 1st value = [tex]\frac{8}{4}=2[/tex]

Ratio of 3rd value and 2nd value = [tex]\frac{16}{8}=2[/tex]

There is a common ratio of 2.

Therefore, the given table will represent an exponential function.

Option B

Given recursive formula of the sequence is,

[tex]A_1=3[/tex]

[tex]A_n=5.A_{n-1}[/tex]

From this recursive formula sequence will be,

3, 15, 75, 375,.......

Therefore, it's an exponential function.

Option C

[tex]F_n=3n+17[/tex]

Given function is in the form of a linear function (y = mx + b),

Therefore, it's a linear function.

Option D

From the given table,

Difference between 2nd value to the 1st value = 8 - 4 = 4

Difference between 3rd value to the 2nd value = 12 - 8 = 4

Therefore, there is a common difference of 4 in each successive term to the previous term.

Hence, the given table represents a linear function.

Answer:

above me will also work for problems in the photo below

Step-by-step explanation:

I did the problem

Which expression is equivalent to:1/2(x-8)+3x

Answers

Answer:

Step-by-step explanation:

1/2*(x-8)+3x=x/2-4+3x=3.5x-4

Hope this helps!

Please help

I need the answer

Answers

Answer:

D. 14448

Step-by-step explanation:

S = Base area + lateral surface area

  =2*(1/2*(56*42)) + (56+42+70)*72

  = 2352 + 12096

  = 14448

Plzzz help me, like plzzz

Answers

Answer:

y = 28

Step-by-step explanation:

28 = y

28 = 28

the angles are equal to each other because they are vertical angles

explain the steps needed to determine the value of the expression below. 3(y-4)-7y+3/4

Answers

Answer:

3(y-4)-7y+3/4=3y-(3)(4)-7y+3/4=-4y-12/1+3/4=-4y+(-12×4+3)/4=-4y-45/3

how many are right handed??​

Answers

Answer:

40

Step-by-step explanation:

1/3 of 120 would be 40 so you would take 120-40=80 so there is 80 right handed students in 8th grade

if a bakery offers, tuna, and vegetable sandwiches on a plain or onion bagel how many possible sandwiches are there?

Answers

Answer:6

6

66

66

6

6

66

6

6

6

6

6

Step-by-step explanation:

6 sandies sir/ma'am have fun

Write an expression for “seven less than three halves of z”

Answers

Answer:

7- 3/2Z

thank for points and pick me brainliest pls!

an oak leaf is 79 mm long, and a maple leaf is 6 cm long. what is the difference in their lengths in cm?

Answers

Answer:

1.9cm

Step-by-step explanation:

79mm into cm is 7.9cm

As 10mm is 1 cm

Then you do 7.9 - 6 = 1.9cm

solve for x.
x²= 16

a-8
b-4
c-32
d-64​

Answers

Answer:

a

Step-by-step explanation:

you can do 16 divided by 2 to get the answer

Evaluate (8 x 10-3) +0.45 – (7 X 10-2). Write your answer in
scientific notation.

Answers

Answer: 80 x  −  60.55

what is algbra
plz help me

Answers

Answer:

Algebra is math, like X, Y and all that.

Step-by-step explanation:

Answer:

algebra basically study of mathematical symbols and the rules governing the manipulation of these symbols as well.

The perimeter of a rectangle is 76cm.
Its longest side has a length of 29cm.
State the length of the shortest side.

Answers

Answer:

The length would be 9cm

Step-by-step explanation:

Because the perimeter is 76, you have to add 29 to 29 which equals 58, then you have to subtract 58 from 76, which is 18. The last episode is divide 18 by 2 because re are two sides remaining. So  answer would be 9. To check the answer you can add 29+29+9+9

I need help ASAP plzzzz help

Answers

Answer:

D. X = 130 in.

Step-by-step explanation:

a² +b² =c² (Pythagorean theorem)

50² + 120²=c²

2,500 + 14,400 =c²

16,900 = c²

√16900 = √c²

130 = c

X = 130 in.

Please help asapppppp

Answers

depends on what the terms are

what is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5, 9.1)?

Answers

Answer:

(-5/2, 3/2)

Step-by-step explanation:

[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)

What is the area of this triangle m2

19 m
22m

Answers

uhhh i don’t really know good luck figuring it out!!

What type of triangle can an equilateral be?

Answers

It can be a regular polygon

Answer:

An acute triangle.

Step-by-step explanation:

There is a rule that if a triangle is equilateral, then it also must be acute. A right and obtuse triangle will always have a scenario where one of the sides is longer both of the other sides. And, if the triangle has at least one side longer than the other, it cannot be a equilateral triangle. Therefore, an equilateral triangle can also be an acute triangle. Hope this helps!

Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.

Answers

Don't you hate the people with the website. The answer is c

Answer:

B

Step-by-step explanation:

Drag tiles to match each fraction, decimal, or percent to an equivalent number

Answers

24/25 = 0.96
3/5= 0.60
9/50= 0.18
26%= 13/50
0.35= 7/20

2 1/3 · 3 1/2

Could someone give me the product of this math problem?

Answers

Answer:

8.16666666667

Step-by-step explanation:

I have 12 apples, but I take 2, 3 are molding, 1 has a worm in it, I'm eating 1, and 3 fell on the floor... how much apples do I have?

Answers

Answer:

12 counting the one you're eating

Step-by-step explanation:

if 100 ml of rat poison is mixed with 2,5l of water then what would be the simplified poison water ratio ​

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1:25 ratio of rat poison to water

Explanation:

100:2500

10: 250

1:25

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Help!!!!
There is one dot at 3.45. What does that value
represent?
A school administrator claims that the average GPA of
the senior class is 3.53. You think that the average GPA
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
sample mean GPA is 3.70.
Using technology, you simulate selecting 100 SRS of
size n = 100 from a population of seniors for which the
mean GPA is 3.53. This dotplot shows the results.
O In one simulated SRS of 100 students, the average
GPA was = 3.45.
In one simulated SRS of 100 students, the
population mean GPA was u = 3.45.
There is a 1 out of 100 chance that the population
mean GPA is = 3.45.
O A majority of the sample of 100 students had a GPA
of r = 3.45.

Answers

Answer: In one simulated SRS of 100 students, the average GPA was x= 3.45

Step-by-step explanation:

Each dot in the dot plot in representation of one sample of 100 students, also I just turned it in

Answer:

A

Step-by-step explanation:

EDGE

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