What is the derivative of 7e^x?

Apr 11, 2018

$\frac{d}{\mathrm{dx}} \left[7 {e}^{x}\right] = 7 {e}^{x}$

Explanation:

The derivative of ${e}^{x}$ is just ${e}^{x}$. The $7$ is a constant so...

$\frac{d}{\mathrm{dx}} \left[7 {e}^{x}\right] \implies 7 \cdot \frac{d}{\mathrm{dx}} \left[{e}^{x}\right] = 7 \cdot {e}^{x}$

Apr 11, 2018

$7 {e}^{x}$

Explanation:

We got:

$\frac{d}{\mathrm{dx}} \left(7 {e}^{x}\right)$

Taking the constant out,

$= 7 \frac{d}{\mathrm{dx}} \left({e}^{x}\right)$

$= 7 {e}^{x}$ (since $\frac{d}{\mathrm{dx}} \left({e}^{x}\right) = {e}^{x}$)