Answer
$11^{x}\cdot\ln 11$
Work Step by Step
Let $y= 11^{x}$.
Then, $\ln y= x \cdot \ln 11$
Differentiating both sides with respect to x,
We have $\frac{1}{y}\frac{dy}{dx}=\ln 11$
Or $\frac{dy}{dx}=y\cdot \ln 11$
Thus $\frac{d}{dx}(11^{x})= 11^{x}\cdot\ln 11$
