If $x = 1$ is a critical point of the function $f(x) = (3x^2 + ax - 2 - a)e^x$, then
(1) $x = 1$ and $x = -\frac{2}{3}$ are local minima of $f$
(2) $x = 1$ and $x = -\frac{2}{3}$ is a local maxima of $f$
(3) $x = 1$ is a local maxima and $x = -\frac{2}{3}$ is a local minima of $f$
(4) $x = 1$ is a local minima and $x = -\frac{2}{3}$ are local maxima of $f$
If $x = 1$ is a critical point of the function $f(x) = (3x^2 + ax - 2 - a)e^x$, then\\
(1) $x = 1$ and $x = -\frac{2}{3}$ are local minima of $f$\\
(2) $x = 1$ and $x = -\frac{2}{3}$ is a local maxima of $f$\\
(3) $x = 1$ is a local maxima and $x = -\frac{2}{3}$ is a local minima of $f$\\
(4) $x = 1$ is a local minima and $x = -\frac{2}{3}$ are local maxima of $f$