f-x-4x-4-2x-2-17-Find-the-maximum-point-of-the-function-

Question Number 147980 by mathdanisur last updated on 24/Jul/21

f (x) = 4 x^{4} - 2 x^{2} + 17

F i n d t h e m a x i m u m p o i n t o f t h e

f u n c t i o n

Answered by iloveisrael last updated on 25/Jul/21

f^{'} (x) = {16 x}^{3} - 4 x = 0

\Rightarrow 4 x ({4 x}^{2} - 1) = 0

\Rightarrow x = 0, x = \pm \frac{1}{2}

f^{″} (x) = {48 x}^{2} - 4 < 0 for x = 0

local \max when x = 0, local \max value = 17

local \max point at (0, 17)

Commented by mathdanisur last updated on 25/Jul/21

T h a n k s S e r