let h(x)=f(g(x)). Find: (a) h'1 (b) h'(2) (c) h'(3)

Question

Need help

 

let h(x)=f(g(x)). Find: (a) h'1 (b) h'(2) (c) h'(3)

Answer 1

We know that h(x) = f(g(x)). When differentiating a composition of functions, you can apply the chain rule, meaning that h'(x) = f'(g(x)) * g'(x). Think about the use of the Chain Rule like "peeling the onion layer by layer".

Now that you know h'(x), you can find h'(1), h'(2), h'(3). Hope this helps :)