Let $f(x)=x^3-2x$ in the interval $-2,2.$

Find if the Mean Value theorem can be applied in $(a,b).$ If it docs, find all values of c in $(a,b)$ such that $f(c)=\frac{g(t)-f(a)}{b-2},$ If it can not be applied, write NA :

$+\frac{2\sqrt[\phantom{2}]{3}}{3}$

$=\frac{3\sqrt[\phantom{2}]{2}}{2}$

NH

$1+\frac{2}{3}$

$=\frac{\sqrt[\phantom{2}]{6}}{3}$