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Mathematics · 2021

JEE Main · 26 August 2021, Shift 1 · Q86

If y=y(x) is an implicit function of x such that log_e (x+y)=4 x y, then (d^2 y)/(d x^2) at x=0 is equal to \ \ \ \.

If $\displaystyle y=y(x)$ is an implicit function of $\displaystyle x$ such that $\displaystyle \log _{\mathrm{e}}(x+y)=4 x y$, then $\displaystyle \frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}$ at $\displaystyle x=0$ is equal to \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.