# What is the derivative of 5e^(x)+3?

May 1, 2016

$\frac{d}{\mathrm{dx}} \left(5 {e}^{x} + 3\right) = 5 {e}^{x}$

#### Explanation:

The derivative of ${e}^{x}$ is just ${e}^{x}$. Multiplied by five, and

$\frac{d}{\mathrm{dx}} \left(5 {e}^{x}\right) = 5 {e}^{x}$

Since $3$ is a simple constant, its derivative is $0$, as it does not change the gradient of the graph - think about the graph of $y = 3$ and it has a gradient of $0$.

Therefore,

$\frac{d}{\mathrm{dx}} \left(5 {e}^{x} + 3\right) = 5 {e}^{x}$