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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (\frac{7}{2}, \frac{21}{4})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < \frac{7}{2},

Absteigend

: \frac{7}{2} < x < \infty

Stecke

x = \frac{7}{2}

in

- x^{2} + 7 x - 7 : \frac{21}{4}

Maximum (\frac{7}{2}, \frac{21}{4})

Graph

Beliebte Beispiele

extreme f(x)=x^3+x^2-46x+80

e x t re m e f (x) = x^{3} + x^{2} - 46 x + 80

extreme f(x)=3x^4+8x^3-6x^2+24x

e x t re m e f (x) = 3 x^{4} + 8 x^{3} - 6 x^{2} + 24 x

extreme 3x(x-3)^3

e x t re m e 3 x (x - 3)^{3}

extreme f(x)=x^{4/3}+4^{1/3}

e x t re m e f (x) = x^{\frac{4}{3}} + 4^{\frac{1}{3}}

extreme f(x,y)=2y^2-xy+6y^2

e x t re m e f (x, y) = 2 y^{2} - x y + 6 y^{2}