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If \(x=1\) is a critical point of the function \(f(x)=\left(3 x^2+a x-2\right.\) -a) \(e^x\), then: [JEE Main 2020, 5 Se…

Q1

If \(x=1\) is a critical point of the function \(f(x)=\left(3 x^2+a x-2\right.\) -a) \(e^x\), then:


[JEE Main 2020, 5 Sep (Shift 2)]

a

\(x=1\) is a local maxima and \(x=-\frac{2}{3}\) is a local minima of \(f\)

b

\(x=1\) and \(x=-\frac{2}{3}\) are local maxima of \(f\)

c

\(x=1\) and \(x=-\frac{2}{3}\) are local minima of \(\mathrm{f}\)

d

\(x=1\) is a local minima and \(x=-\frac{2}{3}\) is a local maxima of \(f\)

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