How do you find the derivative of #y=e^(5x)#?

1 Answer
Jacob F.
Aug 4, 2014

#dy/dx = 5e^(5x)#

Process:

The derivative of #e^x# is simply #e^x#. However, in this example, #x# has a coefficient, so we will need to use the chain rule.

If #y = e^(5x)#, then, by the chain rule, the derivative will be equal to the derivative of #e^(5x)# with respect to #5x#, multiplied by the derivative of #5x# with respect to #x#.

#dy/dx = d/dx[5x] * e^(5x)#

#dy/dx = 5 e^(5x)#

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