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Beliebt Funktionen >

extreme (4x^2)/(x-2)

Lösung

extrempunkte

\frac{4 x ^{2}}{x - 2}

Lösung

Maximum (0, 0), Minimum (4, 32)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Absteigend

: 2 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 0

in

\frac{4 x ^{2}}{x - 2} : 0

Maximum (0, 0)

Stecke

x = 4

in

\frac{4 x ^{2}}{x - 2} : 32

Minimum (4, 32)

Maximum (0, 0), Minimum (4, 32)

Graph

Beliebte Beispiele

extreme f(x)=6-3x-2y

e x t re m e f (x) = 6 - 3 x - 2 y

extreme f(x)=x^2+x+y^2-4y

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

extreme G(x,y)=40000x+30000y-8x^2-15y^2-10xy

e x t re m e G (x, y) = 40000 x + 30000 y - 8 x^{2} - 15 y^{2} - 10 x y

extreme f(x)=(12)/x+3pix^2

e x t re m e f (x) = \frac{12}{x} + 3 π x^{2}

extreme f(x)=x^{4/7}(11/4+x)

e x t re m e f (x) = x^{\frac{4}{7}} (\frac{11}{4} + x)