Question

How do you differentiate `f(x) =2x sin x`?

Answer 1

You can do it using the product rule.

Explanation:

`(d(u.v))/dx=u.(dv)/dx+v(du)/dx`

In this case let `u=2x` and `v=sinx`

`:.f'(x)=2xcosx+2sinx`

`f'(x)=2(xcosx+sinx)`