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Beliebt Funktionen >

extreme f(x)=2x^5ln(x)

Lösung

extrempunkte

f (x) = 2 x^{5} ln (x)

Lösung

Minimum (\frac{1}{5 e}, - \frac{2}{5 e})

Schritte zur Lösung

f^{'} (x) = 2 (5 x^{4} ln (x) + x^{4})

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{5 e},

Ansteigend

: \frac{1}{5 e} < x < \infty

Stecke

x = \frac{1}{5 e}

in

2 x^{5} ln (x) : - \frac{2}{5 e}

Minimum (\frac{1}{5 e}, - \frac{2}{5 e})

Graph

Beliebte Beispiele

extreme f(x)=48x^3+57x^2-54x+18

e x t re m e f (x) = 48 x^{3} + 57 x^{2} - 54 x + 18

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

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

extreme f(x)=(x^2+3)/(x^2-16)

e x t re m e f (x) = \frac{x ^{2} + 3}{x ^{2} - 16}

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

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

extreme f(x)=x^2+y^2+xy

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