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Beliebt Funktionen >

extreme f(x)=sqrt(x-2)+sqrt(4-x)

Lösung

extrempunkte

f (x) = x - 2 + 4 - x

Lösung

Minimum (2, 2), Maximum (3, 2), Minimum (4, 2)

Schritte zur Lösung

f^{'} (x) = \frac{1}{2 x - 2} - \frac{1}{2 4 - x}

Intervalle finden:

Ansteigend

: 2 < x < 3,

Absteigend

: 3 < x < 4

Stecke

x = 2

in

x - 2 + 4 - x : 2

Minimum (2, 2)

Stecke

x = 3

in

x - 2 + 4 - x : 2

Maximum (3, 2)

Stecke

x = 4

in

x - 2 + 4 - x : 2

Minimum (4, 2)

Minimum (2, 2), Maximum (3, 2), Minimum (4, 2)

Graph

Beliebte Beispiele

extreme f(x)=x+cos(x)

e x t re m e f (x) = x + cos (x)

extreme f(x)=-2x^2+3x+7

e x t re m e f (x) = - 2 x^{2} + 3 x + 7

extreme x^2+y^2

e x t re m e x^{2} + y^{2}

extreme f(x,y)=4x^2+9y^2

e x t re m e f (x, y) = 4 x^{2} + 9 y^{2}

extreme f(x)=-x^4+4x^3+20

e x t re m e f (x) = - x^{4} + 4 x^{3} + 20