Question:medium
If \(y=\left(x+\sqrt{1+x^2}\right)^n\), then \((1+x^2)\dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}\) is
If \(y=\left(x+\sqrt{1+x^2}\right)^n\), then \((1+x^2)\dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}\) is
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Substitution \(x=\sinh t\) simplifies expressions with \(\sqrt{1+x^2}\).
Updated On: Mar 23, 2026
- \(n^2y\)
- \(-n^2y\)
- \(-y\)
- \(2x^2y\)
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The Correct Option is A
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