Let f$($x$)=$ x$3-3$x$2+2$ and g$($x$)=4$x$3+$ x$\mathrm{.}1.$ Find the critical points of f$($x$).$ Classify the nature of the points$\mathrm{.}2.$ Find the critical points of g$($x$).$ Classify the nature of the points.Exercise $7$: Let $f(x)=x^3-3x^2+2$ and $g(x)=4x^3+x$

Find the critical points of $f(x).$ Classify the nature of the points.

Find the critical points of $g(x).$ Classify the nature of the points.