Question

What is the second derivative of #f(x)=-cot^2x #?

Answer 1

`f''(x)=-4cot^2(x)csc^2(x)-2cscx^4(x)`

Explanation:

The first derivative is given by

`f'(x)=2cot^2(x)*csc^2(x)`
so we get

`f''(x)=-4cot^2(x)csc^2(x)-2csc^4(x)`