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Beliebt Funktionen >

extreme f(x)=(8x)/(x^2+4)

Lösung

extrempunkte

f (x) = \frac{8 x}{x ^{2} + 4}

Lösung

Minimum (- 2, - 2), Maximum (2, 2)

Schritte zur Lösung

f^{'} (x) = \frac{8 ( - x ^{2} + 4 )}{( x ^{2} + 4 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = - 2

in

\frac{8 x}{x ^{2} + 4} : - 2

Minimum (- 2, - 2)

Stecke

x = 2

in

\frac{8 x}{x ^{2} + 4} : 2

Maximum (2, 2)

Minimum (- 2, - 2), Maximum (2, 2)

Graph

Beliebte Beispiele

extreme p(x)=3x^3-10x^2+ax-2

e x t re m e p (x) = 3 x^{3} - 10 x^{2} + a x - 2

extreme f(x)=(x^3-4)/(x-1)

e x t re m e f (x) = \frac{x ^{3} - 4}{x - 1}

extreme f(x)=-2/3 x^3+10x^2-48x-1

e x t re m e f (x) = - \frac{2}{3} x^{3} + 10 x^{2} - 48 x - 1

extreme f(x)=4x-48x^{1/3}

e x t re m e f (x) = 4 x - 48 x^{\frac{1}{3}}

extreme f(x,y)=4x^2+3y^2+3xy-10x+6y+36

e x t re m e f (x, y) = 4 x^{2} + 3 y^{2} + 3 x y - 10 x + 6 y + 36