For the function $(8pts)$

$f(x)=18x^2-x^4$ find:

$a$

Test intervals increasing decreasing incressing decreasury

c$)$ points of inflection

$f^{\text{'}\text{'}}(x)=36-12x^2$

$36-12x^2=0$

$+12x^2$

$\frac{36}{12}=\frac{12x^2}{12}$

d$)$ intervals on x where f is Concave Up and Concave Down.

concave up $(-\sqrt[\phantom{2}]{3},\sqrt[\phantom{2}]{3})$

concarledown $(-,-\sqrt[\phantom{2}]{3})(\sqrt[\phantom{2}]{3},)$

Sketch the graph with critical points and points of inflection.

Make sure you use sign charts to find the intervals.

PLEASE SOLVE THE LAST PART.

Sketch the graph with critical points and points if inflection. Make sure you use sign charts to find the intervals.