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Beliebt Funktionen >

extreme f(x)=-x^2+3x^2+9x+1

Lösung

extrempunkte

f (x) = - x^{2} + 3 x^{2} + 9 x + 1

Lösung

Minimum (- \frac{9}{4}, - \frac{73}{8})

Schritte zur Lösung

f^{'} (x) = 4 x + 9

Intervalle finden:

Absteigend

: - \infty < x < - \frac{9}{4},

Ansteigend

: - \frac{9}{4} < x < \infty

Stecke

x = - \frac{9}{4}

in

- x^{2} + 3 x^{2} + 9 x + 1 : - \frac{73}{8}

Minimum (- \frac{9}{4}, - \frac{73}{8})

Graph

Beliebte Beispiele

extreme f(x)= t/(t-1)(2.3)

e x t re m e f (x) = \frac{t}{t - 1} (2.3)

extreme 72y^2+x^2-x^2y

e x t re m e 72 y^{2} + x^{2} - x^{2} y

extreme f(x)=|x^3-6x-4|

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

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extreme f(x,y)=3x^2y^3-y^2-x^2+6

e x t re m e f (x, y) = 3 x^{2} y^{3} - y^{2} - x^{2} + 6