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Beliebt Funktionen >

extreme f(x)=-3x^6ln(2x)

Lösung

extrempunkte

f (x) = - 3 x^{6} ln (2 x)

Lösung

Maximum (\frac{1}{2 6 e}, \frac{1}{128 e})

Schritte zur Lösung

f^{'} (x) = - 3 (6 x^{5} ln (2 x) + x^{5})

Intervalle finden:

Ansteigend

: 0 < x < \frac{1}{2 6 e},

Absteigend

: \frac{1}{2 6 e} < x < \infty

Stecke

x = \frac{1}{2 6 e}

in

- 3 x^{6} ln (2 x) : \frac{1}{128 e}

Maximum (\frac{1}{2 6 e}, \frac{1}{128 e})

Graph

Beliebte Beispiele

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

e x t re m e f (x) = x (x + 4)

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

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

extreme g(t)=e^{at}

e x t re m e g (t) = e^{a t}

extreme f(x)=(8x)/(x^2+4)

e x t re m e f (x) = \frac{8 x}{x ^{2} + 4}

extreme p(x)=3x^3-10x^2+ax-2

e x t re m e p (x) = 3 x^{3} - 10 x^{2} + a x - 2