JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

\frac{d^{2} x}{d y^{2}}

equals

View answer and explanation

Correct option: D

-\left(\frac{d^{2} y}{d x^{2}}\right)\left(\frac{d y}{d x}\right)^{-3}

The correct answer is D (

-\left(\frac{d^{2} y}{d x^{2}}\right)\left(\frac{d y}{d x}\right)^{-3}

) because it represents the second derivative of x with respect to y in terms of derivatives of y with respect to x.

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