NIMCET 2018 Mathematics Question 39 with Solution

Question 39

Mathematics Differentiation Hard

\(\dfrac{d^2x}{dy^2}\) equals

(A) \(\left(\dfrac{d^2y}{dx^2}\right)^{-1}\)

(B) \(-\left(\dfrac{d^2y}{dx^2}\right)^{-1} \left(\dfrac{dy}{dx}\right)^{-3}\)

(C) \(\left(\dfrac{d^2y}{dx^2}\right) \left(\dfrac{dy}{dx}\right)^{-2}\)

(D) \(-\left(\dfrac{d^2y}{dx^2}\right) \left(\dfrac{dy}{dx}\right)^{-3}\)

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Correct Solution: Option D

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