Question

Fill in the blank:

$\frac{d}{dx}\left(e^x\right)=---$

Short answer

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

Step-by-step solution

Given Information

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

Simplification

We know that

$\frac{d}{dx}\left(e^{f\left(x\right)}\right)=e^{f\left(x\right)}.f^{\text{'}}\left(x\right)$

$\Rightarrow \frac{d}{dx}\left(e^x\right)=e^x.\frac{d}{dx}\left(x\right)$

$=e^x$