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#.