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Beliebt Funktionen >

extreme f(x)=3+5x-5x^2

Lösung

extrempunkte

f (x) = 3 + 5 x - 5 x^{2}

Lösung

Maximum (\frac{1}{2}, \frac{17}{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

3 + 5 x - 5 x^{2} : \frac{17}{4}

Maximum (\frac{1}{2}, \frac{17}{4})

Graph

Beliebte Beispiele

extreme f(x)=x^{7/9}

e x t re m e f (x) = x^{\frac{7}{9}}

extreme f(x)=(x^2)/(x^2+192)

e x t re m e f (x) = \frac{x ^{2}}{x ^{2} + 192}

extreme f(x)=2x^2+4x-5

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

extreme f(x,y)=3x^2+y^2-xy-11x

e x t re m e f (x, y) = 3 x^{2} + y^{2} - x y - 11 x

extreme f(t)=(t)+2u(t)-3e^{-2t}u(t)

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