Answered: 4 Assume that f'(3)= -5, g'(4) =…

Math

Calculus

4 Assume that f'(3)= -5, g'(4) = 7.9(4)=3, and y = f(g(x)). What is y' at x=4? Atx=4,y= (Simplify your answer.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.4: Definition Of The Derivative

Problem 36E

See similar textbooks

Related questions

Q: Please review and solve problem 8 part 'a' and 'b' and explain how the answer was found. Problem…

A: The answer is,Explanation:Consider,Used formulas:∫1 dx=x+C∫xn dx=n+1xn+1+Crounded to six decimal…

Q: For the given cost function C(x) = 14400+500x + x² find: a) The cost at the production level 1450…

A: For the cost function , to find the following: (1) The cost at the production level 1450.(2) The…

Q: | Suppose f (x, y) = 2x² + 1xy − 2y², P = (2, −1), and u = A. Compute the gradient of f. 15 ( 17,…

A: Therefore, the required answers are a) The gradient is (4x+y)i+(x-4y)jb) gradient at the point…

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: (b) Find a particular solution of y"+9y+20y=6e-5x

A: Particular solution is −6xe−5xExplanation:

Q: Prove that 3 is prime.

Q: Make a sign diagram for the derivative of the function: f(x) = −x4 + 4x3 − 4x2 + 5

A: The objective of this question is to create a sign diagram for the derivative of the given function.…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: Sketch the region enclosed by the given curves and find its area. y = cos x, y = 1-cos x on 0 ≤ X ≤…

A: Answer: Area= 23+π/3 ≈4.5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: No hand written responses. Please provide a step by step detailed explanation (in laymen terms) on…

A: The break-even point is x=407.46.Explanation:To find the break-even points, we need to set the total…

Q: Suppose that the Quick-Fix Car Service franchise finds that the income generated by its stores can…

A: Therefore, the required answer is $2,802,379Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: Consider the following. y y=x³-2x -4 -2 + 2 2 y=2x 2 (a) Find the points of intersection of the…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), e" + cos(v)). Use…

A: Answer: gu(0,0)=17gv(0,0)=8Explanation:Step 1:

Q: f(x)= 3ex 2e-5

A: f(x)=3ex2ex−5f′(x)=ddx[3ex2ex−5]Using the quotient rule ddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: Answer AOption A , t2, t4, t5, t7, t8Answer Blimt→t6N(t)=7N(t6)=7Answer CThe Limit does not…

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: A. C.B. D.C. -60D. C. Explanation:Approach to solving the question and detailed explanation: (A)…

Q: (a) Find the extreme values of f(x) = 2x3 + 3x2 - 12x + 1 on the interval (0, 2). (b) If f' (x) =…

Q: (x-5)n n=0 • 8 WI 2. Determine the interval of convergence of the power series.

A: The objective of this question is to find the interval of convergence of the given power series. The…

Q: Problem #1: By Taylor's theorem, we can find a Taylor polynomial P3(f) of degree 3 for the function…

A: Given: To Find: To calculate the coefficient .

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given by…

A: The objective of the question is to find the general and particular solution of the cost function C.…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 1: The answer is option a. ((10,−6,−3)+s(1,2,−2))Question 2:The correct answer is option…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Thus, the equilibrium point is (x,p)=(3,112).The consumer's surplus at the equilibrium point is…

Q: Find a set of parametric equations for the rectangular equation y=4x-4 that satisfies the condition…

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is Thus, the series is convergent by the ratio test.

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 - x^2 and…

A: Given the region is bounded by the curve and line

Q: help

A: So, the consumer's surplus is $30.Explanation:To find the consumer's surplus, we first need to find…

Q: ☐ 5. Evaluate 元 ○ 1 0 ○ Undefined 3π/2 tan(4x)dx ☐ 6. Evaluate 3/2 [ar/a Π sin(4x)dx ○ 1 ○ 0 4 ○ 4π

A: 5.) 06.) 0Explanation:

Q: Find a rational function that may have the given graphs.

A: f(x)=(x+4)2(x−2)2(x3+x)17(x−1)2(x+2)2Explanation:I attached my solutions below, I hope this can…

Q: I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a…

A: The objective of the question is to find the dimensions of a sphere and a cube that will minimize…

Q: please solve this

A: Ans : Volume = 2.24 cubic units ( approximating upto 2 decimal places)Explanation:Explaination:

Q: The point (1,1,1) is connected to the origin by a curve, C, formed by the union of two lines: the…

A: The objective of the question is to find the parametric representation of the second part of the…

Q: The diagram below shows a right triangle that has side lengths of 6.03 and 2.91 cm and interior…

A: We need to find the angle in radians and degree.

Q: Find the factors of 24

A: We need to find factor of 24.

Q: Use implicit differentiation to find Əz/ǝx and Əz/ǝy. x8+ y + z³ = 8xyz дх 88 || მ მყ ||

A: The required answer is given below.Explanation:

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: To calculate the surface area of S, we'll use the formula for the surface area of a parametric…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.) f(x)=cos2x=>…

Q: At what nominal rate compounded continuously must money be invested to double in 2 years? A rate of…

A: The objective of this question is to find the nominal interest rate that would allow an investment…

Q: let F(x) = f^5 and G(x)=(f(x))^5 you also know that a^4 = 11, f(a)=2, f prime of a =11, f prime of…

A: F'(a) = 880 G'(a) = 880Explanation:Detailed explanation:Understanding the FunctionsF(x) = f^5: This…

Q: let F(x)=f(x^7) and G(x)=(f(x))^7 You also know that a^6=12 , f(a)=3, f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point. 3…

A: 6xy=9(a)ddx(6xy)=ddx(9)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact…

A: Area of the region =317 unit2Explanation:Step 1:Region is enclosed by the…

Q: Consider the following. 3 y=x+2 y= x² -3 -2 -1 1 2 3 (a) Find the points of intersection of the…

A: (a)Points of intersection of the curves.(x,y)=(−1,1) (smaller x-value) (x,y)=(2,4) (larger x-value)…

Q: Find dy dx y=9lnx+5 loggx

A: The objective of the question is to find the derivative of the function y = 9ln(x) + 5log(g(x)) with…

Q: Recently, a certain bank offered a 5-year CD that earns 2.7% compounded continuously.If 20,000 is…

A: The objective of this question is to find out how many years it will take for an investment of…

Q: Use the Product Rule to find f'(1) given that f(x)=x³ex

A: f(x)=x3ex

Q: Answer the following questions for the function �(�)=��2(�2) defined on the interval -6.18,0.57.…

A: answer is given belowExplanation:Step 1: -pi<x<0 Step 2: occurs at -6.18 Step 3: at x=-pi Step…

Q: 15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a…

Q: 27 sin(t) cos(t) = −12 cos(t) t =

Question

4
Assume that f'(3) = -5, g'(4) = 7.9(4)=3, and y = f(g(x)). What is y' at x=4?
Atx=4,y=
(Simplify your answer.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Find the derivative at x=4

VIEW

Step 2: Calculating the derivative at given value

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here