Let F(x)= f(x^{7}) and G(x)=(f(x))^{7} and suppose that a^{6}=8, \quad f(a)=2, \qua

[fredwertyy]

Let

and

and suppose that

​

​

Find

and

.

Can someone please help me figure out how to solve this. I don't know which steps to use

 

[stapel]

Let F(x) = f (x⁷) and G(x) = (f (x))⁷.

Suppose that a⁶ = 8, f (a) = 2, f '(a) = 6, and f (a⁷) = 4.

Find F '(a) and G '(a).

Can someone please help me figure out how to solve this. I don't know which steps to use

Since you're working with functions, compositions of functions, and derivatives, you'll probably want to consider the Chain Rule, and using the steps involved with that.

For instance, given that F(x) = f (x⁷), what does the Chain Rule tell you about F '(x)? What happens when you plug a in for x? And so forth.

If you get stuck, please reply showing your work and reasoning so far. Thank you!