Question

Question #d937e

Answer 1

The general rule for `g(x)=[f(x)]^n` is

`(dg)/dx=n*[f(x)]^(n-1)*((df)/dx)`

hence

`(dy)/dx=5*(cosx/(1+sinx))^4*(-1/(1+sinx))`

`(dy)/dx=-5*(cosx)^4/(1+sinx)^5`

Answer 2

`(-5cos^4 x)/(1+sinx)^5`

Explanation: