Solved: If \(y=\sin^{-1}x,\) then \((1-x^{2})\frac{d^{2}y}{dx^{2}}\) is equal to:

ID: Class: 12 Subject: Math Topic: Second Order Derivative Type: Mcq Year: 2025

Question:

If \(y=\sin^{-1}x,\) then \((1-x^{2})\frac{d^{2}y}{dx^{2}}\) is equal to:

A. \(x\frac{dy}{dx}\)
B. \(-x\frac{dy}{dx}\)
C. \(x^{2}\frac{dy}{dx}\)
D. \(-x^{2}\frac{dy}{dx}\)

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