Question

In Exercise, find the derivative of the function. y = e5x

Answer 1

Answer: The derivative of the function $y=e^{5x}$ is $5e^{5x}$ .

Step-by-step explanation:

We know that the derivative of $e^{ax}$ with respect to x is given by :

$\dfrac{d}{dx}(e^{ax})= a e^{x}$    (1)

The given function is $y=e^{5x}$

Differential both sides with respect to x , we get

$\dfrac{dy}{dx}=\dfrac{d}{dx}(e^{5x})$

$\Rightarrow\ \dfrac{dy}{dx}=5e^{5x}$ ( Using (1))

Therefore , the derivative of the function $y=e^{5x}$ is $5e^{5x}$ .