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Beliebt Funktionen >

extreme f(x)=3x^4+x-1

Lösung

extrempunkte

f (x) = 3 x^{4} + x - 1

Lösung

Minimum (- \frac{1}{3 12}, - \frac{3 ^{\frac{2}{3}}}{4 3 4} - 1)

Schritte zur Lösung

f^{'} (x) = 12 x^{3} + 1

Intervalle finden:

Absteigend

: - \infty < x < - 3 \frac{1}{12},

Ansteigend

: - 3 \frac{1}{12} < x < \infty

Stecke

x = - \frac{1}{3 12}

in

3 x^{4} + x - 1 : - \frac{3 ^{\frac{2}{3}}}{4 3 4} - 1

Minimum (- \frac{1}{3 12}, - \frac{3 ^{\frac{2}{3}}}{4 3 4} - 1)

Graph

Beliebte Beispiele

extreme x+(108)/(x^2)

e x t re m e x + \frac{108}{x ^{2}}

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

e x t re m e f (x) = 5 x - ln (x)

extreme f(x)=x^4-12x^3+16x^2+5

e x t re m e f (x) = x^{4} - 12 x^{3} + 16 x^{2} + 5

extreme f(x)=4x^3-2y^2-12x+8y

e x t re m e f (x) = 4 x^{3} - 2 y^{2} - 12 x + 8 y

extreme f(x)=-x^3+3x^2+24x-4

e x t re m e f (x) = - x^{3} + 3 x^{2} + 24 x - 4