# What is the #100#th derivative of #2e^x#?

##### 1 Answer

Dec 6, 2016

Well, you should memorize that the derivative of

The constant floats out front, so

#(d^n)/(dx^n)[2e^(x)]#

#= 2(d^n)/(dx^n)[e^(x)]#

#= 2e^x#

Since we just proved it in general, what does that tell you about the