If y = ( x + 1 + x 2 ) n , then ( 1 + x 2 ) d x 2 d 2 y + x d x d y is, n 2 y, − n 2 y, − y, 2 x 2 y

If y = ( x + 1 + x 2 ) n , then ( 1 + x 2 ) d x 2 d 2 y + x d x d y is

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If $y=\left(x+\sqrt{1+x^2}\right)^n$, then $\left(1+x^2\right) \frac{d^2 y}{d x^2}+x \frac{d y}{d x}$ is

MathematicsDifferentiationJEE MainJEE Main 2002

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Solution:

2110 Upvotes Verified Answer

The correct answer is:
$\mathrm{n}^2 \mathrm{y}$

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