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Beliebt Funktionen >

extreme f(x)=x-sqrt(x)

Lösung

extrempunkte

f (x) = x - x

Lösung

Maximum (0, 0), Minimum (\frac{1}{4}, - \frac{1}{4})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{4},

Ansteigend

: \frac{1}{4} < x < \infty

Stecke

x = 0

in

x - x : 0

Maximum (0, 0)

Stecke

x = \frac{1}{4}

in

x - x : - \frac{1}{4}

Minimum (\frac{1}{4}, - \frac{1}{4})

Maximum (0, 0), Minimum (\frac{1}{4}, - \frac{1}{4})

Graph

Beliebte Beispiele

extreme f(x)= 1/(sqrt(16-x^2-y^2))

e x t re m e f (x) = \frac{1}{16 - x ^{2} - y ^{2}}

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

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

extreme f(x,y)=-(x-y)^4

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

extreme f(x,y)=x^2y+xy^2+3xy

e x t re m e f (x, y) = x^{2} y + x y^{2} + 3 x y

extreme f(x,y)=2x^2+y^2+6xy+10x-6y+5

e x t re m e f (x, y) = 2 x^{2} + y^{2} + 6 x y + 10 x - 6 y + 5