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Beliebt Funktionen >

extreme f(x)=-5x^6ln(x)

Lösung

extrempunkte

f (x) = - 5 x^{6} ln (x)

Lösung

Maximum (\frac{1}{6 e}, \frac{5}{6 e})

Schritte zur Lösung

f^{'} (x) = - 5 (6 x^{5} ln (x) + x^{5})

Intervalle finden:

Ansteigend

: 0 < x < \frac{1}{6 e},

Absteigend

: \frac{1}{6 e} < x < \infty

Stecke

x = \frac{1}{6 e}

in

- 5 x^{6} ln (x) : \frac{5}{6 e}

Maximum (\frac{1}{6 e}, \frac{5}{6 e})

Graph

Beliebte Beispiele

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

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

extreme f(x)=(x^2-16x+64)/(x-10)

e x t re m e f (x) = \frac{x ^{2} - 16 x + 64}{x - 10}

extreme f(x)=x^3+y^3-33xy

e x t re m e f (x) = x^{3} + y^{3} - 33 x y

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

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

extreme g(x)=2x^3-3x^2-12x+13

e x t re m e g (x) = 2 x^{3} - 3 x^{2} - 12 x + 13