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Derivative of e2x with respect to ex, is ______. - Mathematics

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Question

Derivative of e2x with respect to ex, is ______.

Options

  • ex

  • 2ex

  • 2e2x

  • 2e3x

MCQ
Fill in the Blanks

Solution

Derivative of e2x with respect to ex, is 2e2x.

Explanation:

Let u = e2x, v = ex

`(du)/dx = e^(2x)xx2, (dv)/dx = e^x`

`(du)/dx/(dv)/dx = 2e^x`

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