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Beliebt Funktionen >

extreme f(x)=(2-x)/(2x^2+5x-3)

Lösung

extrempunkte

f (x) = \frac{2 - x}{2 x ^{2} + 5 x - 3}

Lösung

Maximum (\frac{4 - 30}{2}, - \frac{2 30 + 13}{49}), Minimum (\frac{4 + 30}{2}, - \frac{13 - 2 30}{49})

Schritte zur Lösung

f^{'} (x) = \frac{2 x ^{2} - 8 x - 7}{( 2 x ^{2} + 5 x - 3 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Ansteigend

: - 3 < x < \frac{4 - 30}{2},

Absteigend

: \frac{4 - 30}{2} < x < \frac{1}{2},

Absteigend

: \frac{1}{2} < x < \frac{4 + 30}{2},

Ansteigend

: \frac{4 + 30}{2} < x < \infty

Stecke

x = \frac{4 - 30}{2}

in

\frac{2 - x}{2 x ^{2} + 5 x - 3} : - \frac{2 30 + 13}{49}

Maximum (\frac{4 - 30}{2}, - \frac{2 30 + 13}{49})

Stecke

x = \frac{4 + 30}{2}

in

\frac{2 - x}{2 x ^{2} + 5 x - 3} : - \frac{13 - 2 30}{49}

Minimum (\frac{4 + 30}{2}, - \frac{13 - 2 30}{49})

Maximum (\frac{4 - 30}{2}, - \frac{2 30 + 13}{49}), Minimum (\frac{4 + 30}{2}, - \frac{13 - 2 30}{49})

Graph

Beliebte Beispiele

extreme f(x)=(x+7)^4

e x t re m e f (x) = (x + 7)^{4}

extreme f(x)=(-4x)/(x^2+3)

e x t re m e f (x) = \frac{- 4 x}{x ^{2} + 3}

extreme x\sqrt[3]{x^2-9}

e x t re m e x 3 x^{2} - 9

extreme f(x)=cos(pix),0<= x<= 2/3

e x t re m e f (x) = cos (π x), 0 \leq x \leq \frac{2}{3}

extreme f(x)=x^3+x^2+8x+6

e x t re m e f (x) = x^{3} + x^{2} + 8 x + 6