\( d 2x dy 2 \) is" - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> \( d 2x dy 2 \) is" - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> \( d 2x dy 2 \) is" - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

Question 31

Mathematics Differentiation Hard

With the usual notation&nbsp;<span class="math-tex">\(\dfrac{d^2x}{dy^2}\)</span>&nbsp;is

(A) <span class="math-tex">\(\left(\dfrac{d^2y^{-1}}{dx^2}\right)\)</span>
(B) <span class="math-tex">\(\dfrac{d^2y}{dx^2}\left(\dfrac{dy}{dx}\right)^2\)</span>
(C) <span class="math-tex">\(-\left(\dfrac{d^2y}{dx^2}\right)^{-1}\left(\dfrac{dy}{dx}\right)^{-3}\)</span>
(D) <span class="math-tex">\(-\left(\dfrac{d^2y}{dx^2}\right)\left(\dfrac{dy}{dx}\right)^{-3}\)</span>
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Correct Solution: Option D

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