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Differentiation question

2002 · Shift 0 · Q75

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PYQ Library
JEE Main
Mathematics
Differentiation
2002 · Shift 0 · Q75

Differentiation question

2002 · Shift 0 · Q75

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

y = {\left( {x + \sqrt {1 + {x^2}} } \right)^n},

then

\left( {1 + {x^2}} \right){{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}}

is

A
${n^2}y$
B
$-{n^2}y$
C
$-y$
D
$2{x^2}y$

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