## Calculus (3rd Edition)

$11^{x}\cdot\ln 11$
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 $\frac{d}{dx}(11^{x})= 11^{x}\cdot\ln 11$