Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q72
If y= e^n x, then ((d^2 y)/(d x^2))((d^2 x)/(d y^2)) is equal to:
If $\displaystyle y=\mathrm{e}^{\mathrm{n} x}$, then $\displaystyle \left(\frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}\right)\left(\frac{\mathrm{d}^2 x}{\mathrm{~d} y^2}\right)$ is equal to :
Official answer
(4)
$\displaystyle -\mathrm{n} \mathrm{e}^{-\mathrm{n} x}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.