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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

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

Schritte zur Lösung

f^{'} (x) = 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

x^{5} ln (x) : - \frac{1}{5 e}

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

Graph

Beliebte Beispiele

extreme f(x,y)=-x^3+4xy-2y^2+1

e x t re m e f (x, y) = - x^{3} + 4 x y - 2 y^{2} + 1

extreme f(x,y)=2x+y

e x t re m e f (x, y) = 2 x + y

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

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

extreme f(x)=x^2-4x-1

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

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

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