Question

Derivative of e^2x with respect to e^x, is ______.

Options

• e^x

• 2e^x

• 2e^2x

• 2e^3x

Answer 1

Derivative of e^2x with respect to e^x, is 2e^x.

Explanation:

`d/d(e^x) (e^(2x))`

Let u = e^x

e^2x = (e^x)² = u².

`d/du (u^2) = 2u`

Substitute back u = e^x

`d/(d(e^x)) (e^(2x))`

2e^x