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Beliebt Funktionen >

extreme f(x)=8+5x-5x^2

Lösung

extrempunkte

f (x) = 8 + 5 x - 5 x^{2}

Lösung

Maximum (\frac{1}{2}, \frac{37}{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

8 + 5 x - 5 x^{2} : \frac{37}{4}

Maximum (\frac{1}{2}, \frac{37}{4})

Graph

Beliebte Beispiele

extreme f(x)=(x+5)/(x+3)

e x t re m e f (x) = \frac{x + 5}{x + 3}

extreme f(x,y)=4x^2-12x+y^2+2y-10

e x t re m e f (x, y) = 4 x^{2} - 12 x + y^{2} + 2 y - 10

extreme p(x)=12x^4+21x^3+ax^2-21x-9

e x t re m e p (x) = 12 x^{4} + 21 x^{3} + a x^{2} - 21 x - 9

extreme 2x^4-12x^2

e x t re m e 2 x^{4} - 12 x^{2}

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

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