Q237 / 270 · NDA 2023 (Phase 1) · Mathematics

Paragraph: Let $f(x)=|\ln x|, x \neq 1$
Question: What is the derivative of $f(x)$ at $x=2$ ?

  • A
    $-\frac{1}{2}$
  • B
    $-1$
  • Correct answer
    C
    $\frac{1}{2}$
  • D
    $2$

Solution

At $x=2, f(x)=\ln x$ $f^{\prime}(x)=\frac{1}{x} \Rightarrow f^{\prime}(2)=\frac{1}{2}$

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

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