Question: If f(x) and g(x) are differentiable functions, find g(x) if you know that d f(g(x)) = 3x '(x + 1). dx

If f(x) and g(x) are differentiable functions, find g(x) if you know thatd f(g(x)) = 3x '(x + 1). dx

d f(g(x)) = 3x '(x + 1). dx

Step by Step Solution

★★★★★

3.60 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

d dx fg... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Q:

Consider the functions of Exercise 59. Find Exercise 59 If f (x) and g (x) are differentiable functions, such that f(1) = 2, f(1) = 3, f(5) = 4, g(1) = 5, g(1) = 6, g(2) = 7, d =1 dx g(f(x)) x=1

Q:

If f (x) and g (x) are differentiable functions, such that f(1) = 2, f(1) = 3, f(5) = 4, g(1) = 5, g(1) = 6, g(2) = 7, and g'(5) = 8, find d dx -f(g(x)) x=1

Q:

Assume that all of the functions are twice differentiable and the second derivatives are never 0. 66. (a) If f and g are concave upward on I, show that f + g is con- cave upward on I. (b) If f is...

Q:

D Question 3 1 pts Consider the function h (x) = 3f (x) + x2g (x) where f (x) and g (x) are differentiable functions. Use the information in the table to find the value of h' (4) . X 0 2 4 6 f (x) -1...

Q:

I need a,b,c,d parts for Problem 2 , thank you Problem 2: Let f (x) and g (x) be differentiable functions such that the following values are true. Big 10 style - if you complete all problems...

Q:

Product Quotient and Trig Let f x and g x be differentiable functions such that f 5 2 f 5 6 g 5 4 and g 5 3 If h x f x g x then find h 5 Give the exact value NO DECIMALS h 5 0

Q:

THE CHAIN RULE If g is differentiable at x and f is differentiable at g x then the composite function F f g defined by F x f g x is differentiable at x and F is given by the product F x f g x g x In...

Q:

THE CHAIN RULE If g is differentiable at x and f is differentiable at g x then the composite function F f g defined by F x f g x is differentiable at x and F is given by the product F x f g x g x In...

Q:

2 6 25.) If [ f(x) dx =- and [ f(u) du =15, f(x) is an even function (symmetric to the y-axis), find the following: N a. [f (x) dx b. [f ( x ) dx c. [ -f (x) dx -2 d . ( 3f ( x ) dx -2 c. jf ( 3x )...

Q:

Hi, I need help with my calculus homework, thank you! Take your time I appreciate the help :D Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match each...

Q:

The motion of a particle is defined by the equations s x = 6 0.8t (t2 9t +18) and y = 4 + 0.6t (t2 9t + 18), where x and y are expressed in meters and t is expressed in seconds. Show that the path of...

Q:

Given a population with a mean of = 100 and a variance of 2 = 900, the central limit theorem applies when the sample size is n 25. A random sample of size n = 30 is obtained. a. What are the mean...

Q:

2. Full costing includes which of the following in determining product cost? a. Only variable costs of production. b. Only fixed costs of production. c. Administrative overhead. d. All fixed and...

Q:

5. Assuming Is are uncorrelated and 8, 72 4, 2.0, on 2.5 calculate following using the general multi-index model (1) Expected returns. (2) Variance Of return. (3) Covariance of return. Security C B A...

Q:

What are the similarities and differences between cross-sectional, longitudinal, and sequential designs?

Q:

If the psychology professor in exercise 2 had access to only one section of introductory psychology, describe how she might use a single-group design to assess the effectiveness of weekly quizzes....

Q:

A psychology professor is interested in whether implementing weekly quizzes improves student learning. She decides to use the weekly quizzes in one section of her introductory psychology class and...

Q:

This is an individual project Purpose of this project: This project lets you apply what you learn in the FIN 3100 class into a real-world problem. For Finance, Business, and Accounting majors, you...

Q:

We can use discounted cash flows to work out the value of any project; by bringing all the cash flows to the present, I can find the current value of that project, which is useful to compare projects...

Q:

You plan to deposit $1.000 into a savings account at the end of every month for the next 25 years at which time you intend to retire with $1.000000 in the savings account. The savings account...