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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Differentiation

NDA 2011 · Mathematics · Differentiation

If f(x)=2^x , then what is f^ (x) equal to?

If f(x)=2xf(x)=2^x, then what is f′′(x)f^{\prime \prime}(x) equal to?

Options

  1. A2x(ln⁡2)22^x(\ln 2)^2
  2. Bx(x−1)2x−2x(x-1) 2^{x-2}
  3. C2x+1(ln⁡2)2^{x+1}(\ln 2)
  4. D2x(log⁡102)22^x\left(\log _{10} 2\right)^2

Correct answer

A. 2x(ln⁡2)22^x(\ln 2)^2

Step-by-step solution

The correct answer is option (A).
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