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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

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

Schritte zur Lösung

f^{'} (x) = - 2 x + 1

Intervalle finden:

Ansteigend

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

Absteigend

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

Stecke

x = \frac{1}{2}

in

- x^{2} + x : \frac{1}{4}

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

Graph

Beliebte Beispiele

extreme f(x)=4x^2+24x

e x t re m e f (x) = 4 x^{2} + 24 x

extreme 0.2329sin(s)+0.957cos(s)-1

e x t re m e 0.2329 sin (s) + 0.957 cos (s) - 1

extreme-1/30000 x^2+1.6x-7700

e x t re m e - \frac{1}{30000} x^{2} + 1.6 x - 7700

extreme f(x)=(x^4-32x^2)/9

e x t re m e f (x) = \frac{x ^{4} - 32 x ^{2}}{9}

extreme f(x)=3x-6/x ,5<= x<= 7

e x t re m e f (x) = 3 x - \frac{6}{x}, 5 \leq x \leq 7