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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Differentiation

NDA 2013 · Mathematics · Differentiation

What is the differential coefficient of _x x ?

What is the differential coefficient of log⁡xx\log _x x ?

Options

  1. A00
  2. B11
  3. C1x\frac{1}{x}
  4. Dxx

Correct answer

A. 00

Step-by-step solution

y=log⁡xxy=1 for x>0 and x≠1\begin{aligned} & y=\log _x x \\ & y=1 \text{ for } x > 0 \text{ and } x \neq 1\end{aligned}\frac{d y}{d x}=0$
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