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Beliebt Funktionen >

extreme xsqrt(9-x)

Lösung

extrempunkte

x 9 - x

Lösung

Maximum (6, 63), Minimum (9, 0)

Schritte zur Lösung

f^{'} (x) = - \frac{3 ( x - 6 )}{2 9 - x}

Intervalle finden:

Ansteigend

: - \infty < x < 6,

Absteigend

: 6 < x < 9

Stecke

x = 6

in

x 9 - x : 63

Maximum (6, 63)

Stecke

x = 9

in

x 9 - x : 0

Minimum (9, 0)

Maximum (6, 63), Minimum (9, 0)

Graph

Beliebte Beispiele

extreme f(x)= 1/4 e^x+e^{-x}

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

extreme f(x)=(5x)/(x^2+16),0<= x<= 12

e x t re m e f (x) = \frac{5 x}{x ^{2} + 16}, 0 \leq x \leq 12

extreme sin^2(x)-cos(x)

e x t re m e sin^{2} (x) - cos (x)

extreme P(x,y)=0.3x^2+0.2y^2+0.1xy-14x-10y+2000

e x t re m e P (x, y) = 0.3 x^{2} + 0.2 y^{2} + 0.1 x y - 14 x - 10 y + 2000

extreme f(x)=x^2-11x+24

e x t re m e f (x) = x^{2} - 11 x + 24