extreme 5x^3-5x^2-5x+9

Lösung

extrempunkte

5 x^{3} - 5 x^{2} - 5 x + 9

Maximum (- \frac{1}{3}, \frac{268}{27}), Minimum (1, 4)

Schritte zur Lösung

f^{'} (x) = 15 x^{2} - 10 x - 5

Intervalle finden:

Ansteigend

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

Absteigend

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

Ansteigend

: 1 < x < \infty

Stecke

x = - \frac{1}{3}

5 x^{3} - 5 x^{2} - 5 x + 9 : \frac{268}{27}

Maximum (- \frac{1}{3}, \frac{268}{27})

Stecke

x = 1

5 x^{3} - 5 x^{2} - 5 x + 9 : 4

Minimum (1, 4)

Maximum (- \frac{1}{3}, \frac{268}{27}), Minimum (1, 4)

e x t re m e \frac{x ^{3}}{x ^{2} - 49}

e x t re m e x^{2} (1 - x)^{3}

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

e x t re m e p (x) = 3 x^{3} - 13 x^{2} + a x - 8

e x t re m e f (x) = 2 x^{2} - 7 x - 9