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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Differentiation

NDA 2013 · Mathematics · Differentiation

What is the derivative of |x-1| at x=2 ?

What is the derivative of ∣x−1∣|x-1| at x=2x=2 ?

Options

  1. A–1
  2. B0
  3. C1
  4. DDerivative does not exist

Correct answer

C. 1

Step-by-step solution

 at x=2,∣x−1∣=x−1y=x−1⇒dydx=1\begin{aligned} & \text{ at } x=2,|x-1|=x-1 \\ & y=x-1 \Rightarrow \frac{d y}{d x}=1\end{aligned}
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