Question

$\frac{d}{dx}\left[log\right(ax{)}^x]$, where $a$ is a constant, is equal to

• A. $1$
• B. $\log ax$
• C. $1/a$
• D. $\log \left(ax\right)+1$

Answer 1

The correct option is D $\log \left(ax\right)+1$

$\frac{d}{dx}\left(xLogax\right)=Logax+\frac{ax}{ax}=1+Logax$