How do you differentiate #y=5e^x#?

1 Answer
Nov 1, 2016

# dy/dx = 5e^x #

Explanation:

You should know that the exponential function ,#e^x# where #e# is Euler's Number (2.7182 ...), is the only function that remains unchanged when differentiated.

i.e # d/dx(e^x) = e^x #

So if # y=5e^x => dy/dx = d/dx(5e^x) #
# :. dy/dx = 5d/dx(e^x) #
# :. dy/dx = 5e^x #