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Beliebt Funktionen >

extreme f(x)=(x^2-0.8x+0.32)/(1.6-2x)

Lösung

extrempunkte

f (x) = \frac{x ^{2} - 0.8 x + 0.32}{1.6 - 2 x}

Lösung

Minimum (\frac{2 ( 2 - 2 )}{5}, 0.16568 \dots), Maximum (\frac{2 ( 2 + 2 )}{5}, - 0.96568 \dots)

Schritte zur Lösung

f^{'} (x) = \frac{- 2 x ^{2} + 3.2 x - 0.64}{( 1.6 - 2 x ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < \frac{2 ( 2 - 2 )}{5},

Ansteigend

: \frac{2 ( 2 - 2 )}{5} < x < 0.8,

Ansteigend

: 0.8 < x < \frac{2 ( 2 + 2 )}{5},

Absteigend

: \frac{2 ( 2 + 2 )}{5} < x < \infty

Stecke

x = \frac{2 ( 2 - 2 )}{5}

in

\frac{x ^{2} - 0.8 x + 0.32}{1.6 - 2 x} : 0.16568 \dots

Minimum (\frac{2 ( 2 - 2 )}{5}, 0.16568 \dots)

Stecke

x = \frac{2 ( 2 + 2 )}{5}

in

\frac{x ^{2} - 0.8 x + 0.32}{1.6 - 2 x} : - 0.96568 \dots

Maximum (\frac{2 ( 2 + 2 )}{5}, - 0.96568 \dots)

Minimum (\frac{2 ( 2 - 2 )}{5}, 0.16568 \dots), Maximum (\frac{2 ( 2 + 2 )}{5}, - 0.96568 \dots)

Graph

Beliebte Beispiele

extreme f(x)=3x^2-9x+9xy^2

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extreme 2x^4-x^2+5

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