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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Differentiation

NDA 2016 · Mathematics · Differentiation

Consider the equation x+|y|=2 y . What is the derivative of y as a...

Consider the equation x+∣y∣=2yx+|y|=2 y. What is the derivative of yy as a function of xx with respect to xx for x<0x < 0 ?

Options

  1. A2
  2. B1
  3. C12\frac{1}{2}
  4. D13\frac{1}{3}

Correct answer

D. 13\frac{1}{3}

Step-by-step solution

y=13xy=\frac{1}{3} x for x<0x < 0. Hence dydx=13\frac{d y}{d x}=\frac{1}{3} Option (d) is correct.
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