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)` .

Explanation:

We know that the derivative of
`e^(ax)` with respect to x is given by :

`(d)/(dx)(e^(ax))= a e^(x)` (1)

The given function is
`y=e^(5x)`

Differential both sides with respect to x , we get

`(dy)/(dx)=(d)/(dx)(e^(5x))`

`\Rightarrow\ (dy)/(dx)=5e^(5x)` ( Using (1))

Therefore , the derivative of the function
`y=e^(5x)` is
`5e^(5x)` .