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JEE Main 2002
Exam
JEE Main
Year
2002
Subject
Mathematics
Chapter
Differentiation

JEE Main 2002 · Mathematics · Differentiation

If y=(x+ 1+x^2 )^n, then (1+x^2) (d^2 y)/(d x^2) + x (d y)/(d x) i s

If y=(x+1+x2)n,then(1+x2)d2ydx2y=\left(x+\sqrt{1+x^2}\right)^n, then \left(1+x^2\right) \frac{d^2 y}{d x^2}+xdydxix \frac{d y}{d x} isIf y=(x+ 1+x^2 )^n, then (1+x^2) (d^2 y)/(d x^2) + x (d y)/(d x) i s

Options

  1. An2y\mathrm{n}^2 \mathrm{y}
  2. B−n2y-n^2 y
  3. C−y-y
  4. D2x2y2 x^2 y

Correct answer

A. n2y\mathrm{n}^2 \mathrm{y}

Step-by-step solution

If y=(x+ 1+x^2 )^n, then (1+x^2) (d^2 y)/(d x^2) + x (d y)/(d x) i s
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