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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Differentiation

NDA 2021 · Mathematics · Differentiation

What is the derivative of e^ e^x with respect to e^x ?

What is the derivative of eexe^{e^x} with respect to exe^x ?

Options

  1. Aeexe^{e^x}
  2. Bexe^x
  3. Ceexexe^{e^x} e^x
  4. Deexe e^x

Correct answer

A. eexe^{e^x}

Step-by-step solution

Let ex=te^x=t Hence eex=etddtet=et=eexe^{e^x}=e^t\frac{d}{d t} e^t=e^t=e^{e^x}
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