F-x-x-2-4x-2-1-3-local-maximum-absolut-maximum-

Question Number 163080 by tounghoungko last updated on 03/Jan/22

F (x) = \sqrt[3]{{(x^{2} - 4 x)}^{2}}

\begin{matrix} l o c a l m a x i m u m \\ a b s o l u t m a x i m u m \end{matrix}} = ?

Answered by mahdipoor last updated on 03/Jan/22

F^{'} = \frac{2}{3} {(x^{2} - 4 x)}^{\frac{- 1}{3}} (2 x - 4) = 0 o r ∄

\Rightarrow x = 2, 4, 0

\Rightarrow {\begin{cases} F (\pm \infty) = \infty \\ F (2) = {(2)}^{\frac{4}{3}} L M (L o c a l M a x) \\ F (4) = 0 L M \\ F (0) = 0 L M \end{cases}