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Beliebt Funktionen >

extreme f(y)=7x-x^2+18

Lösung

extrempunkte

f (y) = 7 x - x^{2} + 18

Lösung

Maximum (\frac{7}{2}, \frac{121}{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

7 x - x^{2} + 18 : \frac{121}{4}

Maximum (\frac{7}{2}, \frac{121}{4})

Graph

Beliebte Beispiele

extreme y=(x^2-9)/(x-5)

e x t re m e y = \frac{x ^{2} - 9}{x - 5}

extreme 4x^3-210x^2+3600x-200

e x t re m e 4 x^{3} - 210 x^{2} + 3600 x - 200

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

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

extreme 1/3 x^3+1/2 x^2-2x

e x t re m e \frac{1}{3} x^{3} + \frac{1}{2} x^{2} - 2 x

extreme f(x)=12x-x^3-y(y^2+3y-9)+4

e x t re m e f (x) = 12 x - x^{3} - y (y^{2} + 3 y - 9) + 4