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Beliebt Funktionen >

extreme f(x)=-4x^6ln(3x)

Lösung

extrempunkte

f (x) = - 4 x^{6} ln (3 x)

Lösung

Maximum (\frac{1}{3 6 e}, \frac{2}{2187 e})

Schritte zur Lösung

f^{'} (x) = - 4 (6 x^{5} ln (3 x) + x^{5})

Intervalle finden:

Ansteigend

: 0 < x < \frac{1}{3 6 e},

Absteigend

: \frac{1}{3 6 e} < x < \infty

Stecke

x = \frac{1}{3 6 e}

in

- 4 x^{6} ln (3 x) : \frac{2}{2187 e}

Maximum (\frac{1}{3 6 e}, \frac{2}{2187 e})

Graph

Beliebte Beispiele

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

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

extreme f(x)=-7x^3+21x+4

e x t re m e f (x) = - 7 x^{3} + 21 x + 4

extreme x^3-2x^2-4x+4

e x t re m e x^{3} - 2 x^{2} - 4 x + 4

extreme f(x)=16x+17x^{16/17}

e x t re m e f (x) = 16 x + 17 x^{\frac{16}{17}}

extreme y=9sin(|x|),-2pi<= x<= 2pi

e x t re m e y = 9 sin (∣ x ∣), - 2 π \leq x \leq 2 π