Mathematics · 2020
JEE Main · 5 September 2020, Shift 2 · Q61
If x=1 is a critical point of the function f(x)=(3 x^2+ a x-2- a ) e^x, then:
If $\displaystyle x=1$ is a critical point of the function $\displaystyle f(x)=\left(3 x^2+\mathrm{a} x-2-\mathrm{a}\right) \mathrm{e}^x$, then :
Official answer
(4)
$\displaystyle x=1$ is a local minima and $\displaystyle x=-\frac{2}{3}$ is a local maxima of $\displaystyle f$.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.