Question

What is the derivative of `(x^2)(sinx)(tanx)`?

Answer 1

Derivative of `(x^2)(sinx)(tanx)` is `2xsinxtanx+x^2cosxtanx+x^2sinxsec^2x`

Explanation:

Derivative of `f(x)g(x)h(x)` is

`f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)`

Hence derivative of `(x^2)(sinx)(tanx)` is

`2xsinxtanx+x^2cosxtanx+x^2sinxsec^2x`

or `2xsinxtanx+x^2sinx+x^2tanxsecx`