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Beliebt Funktionen >

extreme-5x^2+8x

Lösung

extrempunkte

- 5 x^{2} + 8 x

Lösung

Maximum (\frac{4}{5}, \frac{16}{5})

Schritte zur Lösung

f^{'} (x) = - 10 x + 8

Intervalle finden:

Ansteigend

: - \infty < x < \frac{4}{5},

Absteigend

: \frac{4}{5} < x < \infty

Stecke

x = \frac{4}{5}

in

- 5 x^{2} + 8 x : \frac{16}{5}

Maximum (\frac{4}{5}, \frac{16}{5})

Graph

Beliebte Beispiele

extreme f(x)=x^4-5x^{3/2}

e x t re m e f (x) = x^{4} - 5 x^{\frac{3}{2}}

extreme f(x)=-2x^3+45x^2-300x,4<= x<= 11

e x t re m e f (x) = - 2 x^{3} + 45 x^{2} - 300 x, 4 \leq x \leq 11

extreme f(x,y)=(-20)/9 x^3-5x^2y+45y

e x t re m e f (x, y) = \frac{- 20}{9} x^{3} - 5 x^{2} y + 45 y

extreme f(x)=(6-x)/2

e x t re m e f (x) = \frac{6 - x}{2}

extreme x^2-2x-1

e x t re m e x^{2} - 2 x - 1