Question

Fill in the blank:

$\frac{d}{dx}\left(b^x\right)=---$ ($b$ is constant)

Short answer

$\frac{d}{dx}\left(b^x\right)=b^x\log \left(b\right)$

Step-by-step solution

Given Information

The given expression is$\frac{d}{dx}\left(b^x\right)$

Simplification

Using $\frac{d}{dx}\left(a^x\right)=a^x\log \left(a\right)$, where $a$is constant

$\frac{d}{dx}\left(b^x\right)=b^x\log \left(b\right)$