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Beliebt Funktionen >

extreme f(x)=-4x^5ln(2x)

Lösung

extrempunkte

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

Lösung

Maximum (\frac{1}{2 5 e}, \frac{1}{40 e})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: 0 < x < \frac{1}{2 5 e},

Absteigend

: \frac{1}{2 5 e} < x < \infty

Stecke

x = \frac{1}{2 5 e}

in

- 4 x^{5} ln (2 x) : \frac{1}{40 e}

Maximum (\frac{1}{2 5 e}, \frac{1}{40 e})

Graph

Beliebte Beispiele

extreme f(x)=(x^3)/x-3x^2-7x

e x t re m e f (x) = \frac{x ^{3}}{x} - 3 x^{2} - 7 x

extreme y=x^3+3x^2+3x+1

e x t re m e y = x^{3} + 3 x^{2} + 3 x + 1

extreme f(x)=(8x-3)/x

e x t re m e f (x) = \frac{8 x - 3}{x}

extreme 1+7/x-5/(x^2)

e x t re m e 1 + \frac{7}{x} - \frac{5}{x ^{2}}

extreme f(x)=4+(4+3x)^{2/3}

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