Home > Calculus > Differentiating Exponential Functions with Base e

How do you differentiate #y=2e^x#?

Answer 1

# dy/dx = 2e^x #

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=2e^x => dy/dx = d/dx(2e^x) # # :. dy/dx = 2d/dx(e^x) # # :. dy/dx = 2e^x #

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Paisley Johnson

To differentiate y=2e^x, you can apply the chain rule of differentiation. The derivative of e^x is e^x, and when multiplied by the coefficient 2, it remains 2e^x. Therefore, the derivative of y=2e^x is simply 2e^x.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.