Question

sqrt(cos(sin^2(x))) find the derivative?

Answer 1

do u know chain rule ?

Answer 2

kinda I just barely learning it

Answer 3

ok,
do u know derivatibe of sqrt x ?

Answer 4

1/xsqrtx

Answer 5

1/2sqrt(x)

Answer 6

yes, so
derivative of \(\sqrt{f(x)}=\dfrac{1}{2\sqrt{f(x)}}\times \dfrac{d}{dx}f'(x)\)

applied chain rule, got this ?

Answer 7

ok

Answer 8

so,
\(\sqrt{\cos(\sin^2x)}=\dfrac{1}{2\sqrt{\cos(\sin^2x)}}\times \dfrac{d}{dx}[\cos(\sin^2x)]\)

Answer 9

so now could you find d/dx of cos sin^2 x ?