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Beliebt Funktionen >

extreme-2x^2+324ln(x)

Lösung

extrempunkte

- 2 x^{2} + 324 ln (x)

Lösung

Maximum (9, - 162 + 648 ln (3))

Schritte zur Lösung

f^{'} (x) = - 4 x + \frac{324}{x}

Intervalle finden:

Ansteigend

: 0 < x < 9,

Absteigend

: 9 < x < \infty

Stecke

x = 9

in

- 2 x^{2} + 324 ln (x) : - 162 + 648 ln (3)

Maximum (9, - 162 + 648 ln (3))

Graph

Beliebte Beispiele

extreme f(x,y)=x^2-2y^2+4

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

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

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

extreme f(x,y)=x^2+4y^2-x+2y

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

extreme f(x)= x/(25-x+x^2)

e x t re m e f (x) = \frac{x}{25 - x + x ^{2}}

extreme f(x)=(x^2-25)^2

e x t re m e f (x) = (x^{2} - 25)^{2}