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Beliebt Funktionen >

extreme f(x)=x^7ln(x)

Lösung

extrempunkte

f (x) = x^{7} ln (x)

Lösung

Minimum (\frac{1}{7 e}, - \frac{1}{7 e})

Schritte zur Lösung

f^{'} (x) = 7 x^{6} ln (x) + x^{6}

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{7 e},

Ansteigend

: \frac{1}{7 e} < x < \infty

Stecke

x = \frac{1}{7 e}

in

x^{7} ln (x) : - \frac{1}{7 e}

Minimum (\frac{1}{7 e}, - \frac{1}{7 e})

Graph

Beliebte Beispiele

extreme f(x)= 1/3 x^3+11/2 x^2+24x+1

e x t re m e f (x) = \frac{1}{3} x^{3} + \frac{11}{2} x^{2} + 24 x + 1

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

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

extreme f(x)=(x+3)/(x^2-4x-21)

e x t re m e f (x) = \frac{x + 3}{x ^{2} - 4 x - 21}

extreme f(x)=5xsqrt(x-x^2)

e x t re m e f (x) = 5 x x - x^{2}

extreme f(x)=x^{(2/3)}

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