Find the first derivative for the following functions

Question

1) f(x) = sin(cos^2x) cos(sin^3x)

2) f(x) = ( tan 2x - tan x ) / ( 1 + tan x tan 2x )

3) f(x) = sin { tan ( sqrt x^3 + 6 ) }

4) f(x) = {sec^2(100x) - tan^2(100x)} / x

Answer 1

Just gonna dump some problems on us?
The solution to your previous posting should help some.

Hints:

1) use product rule, chain rule
2) use quotient rule, chain rule
3) use chain rule, chain rule, chain rule
4) use quotient rule, chain rule