NIMCET 2015 Mathematics Question 31 with Solution

Question 31

Mathematics Differentiation Hard

With the usual notation \(\dfrac{d^2x}{dy^2}\) is

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

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

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

(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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