I want to find derivative of following function defined in proper domain w.r.t x
$$ e^{3x} \log{2x} $$
I want to find derivative of following function defined in proper domain w.r.t x
$$ e^{3x} \log{2x} $$
Use the product rule which says that if $f$ and $g$ are differentiable functions then $(f(x)g(x))' = f(x) \cdot g'(x) + g(x) \cdot f'(x)$ and note that the derivative of $e^{ax}= ae^{ax}$ for some $a \neq 0$ and derivative of $\log{x}$ is $\frac{1}{x}$