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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If y=sin⁡(msin⁡−1x)y = \sin \left( {m{{\sin }^{ - 1}}x} \right), then (1−x2)d2ydx2=\left( {1 - {x^2}} \right)\frac{{{d^2}y}}{{d{x^2}}} =
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Correct option: B
xdydx−m2yx \frac{d y}{d x}-m^2 y
Option B (xdydx−m2yx \frac{d y}{d x}-m^2 y) is correct because it is the result of differentiating the given equation twice and rearranging the terms.

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