Q225 / 270 · NDA 2013 (Phase 2) · Mathematics

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

  • A
    –1
  • B
    0
  • Correct answer
    C
    1
  • D
    Derivative does not exist

Solution

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

Hence, the correct answer is option: 'C'.

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