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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = - x^{3} - x^{2} + 5 x - 4

Lösung

Minimum (- \frac{5}{3}, - \frac{283}{27}), Maximum (1, - 1)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - \frac{5}{3},

Ansteigend

: - \frac{5}{3} < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = - \frac{5}{3}

in

- x^{3} - x^{2} + 5 x - 4 : - \frac{283}{27}

Minimum (- \frac{5}{3}, - \frac{283}{27})

Stecke

x = 1

in

- x^{3} - x^{2} + 5 x - 4 : - 1

Maximum (1, - 1)

Minimum (- \frac{5}{3}, - \frac{283}{27}), Maximum (1, - 1)

Graph

Beliebte Beispiele

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

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

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

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

extreme f(x)=4x^3-440x^2+10500x

e x t re m e f (x) = 4 x^{3} - 440 x^{2} + 10500 x

extreme f(x)=4+15x+6x^2-x^3

e x t re m e f (x) = 4 + 15 x + 6 x^{2} - x^{3}

extreme g(x,y)=4x+9y

e x t re m e g (x, y) = 4 x + 9 y