Q176 / 270 · NDA 2016 (Phase 1) · Mathematics

Consider the equation $x+|y|=2 y$. What is the derivative of $y$ as a function of $x$ with respect to $x$ for $x \lt 0$ ?

  • A
    2
  • B
    1
  • C
    $\frac{1}{2}$
  • Correct answer
    D
    $\frac{1}{3}$

Solution

$y=\frac{1}{3} x$ for $x \lt 0$. Hence $\frac{d y}{d x}=\frac{1}{3}$ Option (d) is correct.

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

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