Question

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

Answer 1

As for the second part of your subtraction, we will use product rule, which states that if `y=f(x)g(x)`, then `y'=f'(x)g(x)+f(x)g'(x)`

`(dy)/(dx)=2-(1*sinx+x*(cosx))`
`(dy)/(dx)=2-sinx-xcosx`