Question

What is the derivative of f(x)=6x ln(2x)-6x?

Answer 1

`f'(x)=6(ln(2x))`

Explanation:

`f(x)=6x(ln(2x))-6x`

`f'(x)=6(ln(2x))+6cancel(x)1/(2cancel(x))(2)-6`

`f'(x)=6(ln(2x))+3(2)-6`

`f'(x)=6(ln(2x))+6-6`

`f'(x)=6(ln(2x))`