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Beliebt Funktionen >

extreme sqrt(-x^2+2x)

Lösung

extrempunkte

- x^{2} + 2 x

Lösung

Minimum (0, 0), Maximum (1, 1), Minimum (2, 0)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: 0 < x < 1,

Absteigend

: 1 < x < 2

Stecke

x = 0

in

- x^{2} + 2 x : 0

Minimum (0, 0)

Stecke

x = 1

in

- x^{2} + 2 x : 1

Maximum (1, 1)

Stecke

x = 2

in

- x^{2} + 2 x : 0

Minimum (2, 0)

Minimum (0, 0), Maximum (1, 1), Minimum (2, 0)

Graph

Beliebte Beispiele

extreme f(x)=xy+(50)/x+(20)/x

e x t re m e f (x) = x y + \frac{50}{x} + \frac{20}{x}

extreme f(x)=5x^2-4x+4

e x t re m e f (x) = 5 x^{2} - 4 x + 4

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

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

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

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

extreme 1/(x^3-2x)

e x t re m e \frac{1}{x ^{3} - 2 x}