If x = 1 is a critical point of the function f(x) = (3x2 + ax – 2

Question

If x = 1 is a critical point of the function
f(x) = (3x² + ax – 2 – a)e^x , then :

x = 1 is a local maxima and x = $ - {2 \over 3}$ is a local minima of f.

x = 1 and x = $ - {2 \over 3}$ are local maxima of f.

x = 1 and x = $ - {2 \over 3}$ are local minima of f.

x = 1 is a local minima and x = $ - {2 \over 3}$ is a local maxima of f.

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