Does anyone know how to find the derivative of 3x^ln(2x)?

2 answers

d/dx f(x)g(x) =
f(x)g(x)* [g'(x)ln(f(x))+g(x)f'(x)/f(x) ]
3x^ln(2x) =

3 exp[ln(2x) ln(x)]

The derivative of exp(f(x)) is

exp(f(x)) f'(x)

You can easily prove this using the chain rule.