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Beliebt Funktionen >

extreme f(x)=7+5x-5x^2

Lösung

extrempunkte

f (x) = 7 + 5 x - 5 x^{2}

Lösung

Maximum (\frac{1}{2}, \frac{33}{4})

Schritte zur Lösung

f^{'} (x) = - 10 x + 5

Intervalle finden:

Ansteigend

: - \infty < x < \frac{1}{2},

Absteigend

: \frac{1}{2} < x < \infty

Stecke

x = \frac{1}{2}

in

7 + 5 x - 5 x^{2} : \frac{33}{4}

Maximum (\frac{1}{2}, \frac{33}{4})

Graph

Beliebte Beispiele

extreme f(x)=e^{-x}(x^2-1)

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

extreme h(x)=2(x-5)^3

e x t re m e h (x) = 2 (x - 5)^{3}

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

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

extreme f(x)=-5x^3+15x+6

e x t re m e f (x) = - 5 x^{3} + 15 x + 6

extreme f(x,y)=(x-5)(30-6x+4y)+(y-12)(80+8x-7y)

e x t re m e f (x, y) = (x - 5) (30 - 6 x + 4 y) + (y - 12) (80 + 8 x - 7 y)