Question

What is the derivative of f(x)=g{f(2x)}

Answer 1

I know I need to use the chain rule here, I'm just not good at it

Answer 2

\[\text{ hint } \\ \frac{d}{dx}h(f(g(x)))=g'(x) \cdot f'(g(x)) \cdot h'(f(g(x))\]

Answer 3

I have exactly as many functions as you do in yours

Answer 4

so that should be easy to follow

Answer 5

start with your most inner function there
and follow what I have

Answer 6

f'(x)=g'(f(2x))*f'(2x)*2?

Answer 7

bingo! :)
except that first part

Answer 8

oh no sorry

Answer 9

bingo on the whole thing
didn't really that thing was called f(x)

Answer 10

Okay, great! Thank you!