How do you find the derivative of y = 2e^x?

1 Answer
Truong-Son N.
Aug 21, 2016

You're going to hate me, but you have the derivative already.

The derivative of e^x is itself, and constants can be floated out of the derivative. So, what you have is:

color(blue)(d/(dx)[2e^(x)])

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

= color(blue)(2e^x)

You don't do anything with the chain rule, because d/(dx)[e^u] = e^u ((du)/(dx)), but since u(x) = x, (du)/(dx) = 1, and therefore, d/(dx)[e^x] = e^x * 1 = e^x.

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