Question

derivative of cos^2(sin(x))

Answer 1

what's the first step?

Answer 2

use chain rule

Answer 3

i know chain, but...

Answer 4

i think im suppose to use law of logarithms to bring the square down

Answer 5

why do you want to bring down the square
take f(x)=sinx
and g=cos^2(f)
ow find g'

Answer 6

-2cos(sinx) * sin(sinx)

Answer 7

?

Answer 8

\[
f(x)= \cos^2(\sin x)\\
f'(x)=-2\cos(\sin x)\cdot\sin(\sin x)\cdot \cos x
\]

Answer 9

why that last cosx?

Answer 10

You have to use the chain rule twice. You have basically f(x)=x^2, g(x)=cos(x), h(x)=sin(x), and you have f(g(h(x))), so apply chain rule twice.

Answer 11

ty