Question

How do you differentiate `f(x)=sinxcosx` using the product rule?

Answer 1

`f'(x)=cos^2x - sin^2x` or `1-2sin^2x`

Explanation:

The product rule states that if `f(x) = g(x)h(x)` then `f'(x) = g(x)h'(x) + g'(x)h(x)`

`f(x) = sinxcosx`
`:.f'(x) = sinx(-sinx) +cosxcosx`