Posted by **jessica (the other one)** on Tuesday, February 20, 2007 at 9:30pm.

Given the function f(x) = x4 , and suppose g(x) is some other function of x.

(a) Then the function F(x) = (g(x))^4 is the same thing as ...

a. f '(g(x)) · g'(x)

b. f(g(x))

c. f '(x)

d. f '(g(x))

e. g(f(x))

(b) By either the extended power or the chain rule, we have F '(x) =

a. g(4x^3)

b. 4 (g(x))^3 · g '(x)

c. 4 (g(x))^3

d. x^4 g'(x) + 4x^3g(x)

e. 4x^3 · g '(x)

(c) It follows that F '(2) =

a. 32(g '(x))

b. 4 · g(8) · g '(2)

c. 4 · (g(2))^3

d. g(32)

e. 4(g(2))^3 · g '(2)

Thanks ya'll!

## Answer This Question

## Related Questions

- Calculus, check my answers, please! - Could someone tell me if I'm right, and ...
- pre calc - The Identity Function The Squaring Function The Cubing Function The ...
- math - Suppose you have a rational function that its denominator is (X-c) and ...
- math - . Given the following function, f(x)=-x^2 -8x find: (a) vertex, (b) axis...
- Math - Create a function that closely gives the graph given in the link. The ...
- Calculus - Suppose you have a rational function that its denominator is (X-c) ...
- Math - flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that ...
- pre calculus - Find the inverse of the following function. Find the domain, ...
- Math - A function f is defined by the equation f(x)=4x−8. Suppose that the...
- calculus - In the following problem, suppose f(x) is continuous (and ...

More Related Questions