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Beliebt Funktionen >

extreme f(x)=2xln(9x)

Lösung

extrempunkte

f (x) = 2 x ln (9 x)

Lösung

Minimum (\frac{1}{9 e}, - \frac{2}{9 e})

Schritte zur Lösung

f^{'} (x) = 2 (ln (9 x) + 1)

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{9 e},

Ansteigend

: \frac{1}{9 e} < x < \infty

Stecke

x = \frac{1}{9 e}

in

2 x ln (9 x) : - \frac{2}{9 e}

Minimum (\frac{1}{9 e}, - \frac{2}{9 e})

Graph

Beliebte Beispiele

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

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

extreme f(x)=4xe^{-x}

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

extreme f(x)=x^3+3xy^2-15x+y^3-15y

e x t re m e f (x) = x^{3} + 3 x y^{2} - 15 x + y^{3} - 15 y

extreme f(x,y)=4x^4+y^2-2xy+1

e x t re m e f (x, y) = 4 x^{4} + y^{2} - 2 x y + 1

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

e x t re m e f (x) = x^{3} (x - 1)^{2}