How do you differentiate y=2e^xy=2ex?

1 Answer
Nov 4, 2016

dy/dx = 2e^x dydx=2ex

Explanation:

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

i.e d/dx(e^x) = e^x ddx(ex)=ex

So if y=2e^x => dy/dx = d/dx(2e^x) y=2exdydx=ddx(2ex)
:. dy/dx = 2d/dx(e^x)
:. dy/dx = 2e^x