Question

How to find the nth derivative of a exponential function?

Answer 1

Answer:

Assume

$y = {e}^{mx}$

First Derivative (y1)

$y1 = m \: {e}^{mx}$

Second Derivative (y2)

$y2 = {m}^{2} \: {e}^{mx}$

We can understand,

derivative time (n)= power of m

$y n \: = {m}^{n} {e}^{m \: x}$