extreme x^6-6/5 x^5

Lösung

extrempunkte

x^{6} - \frac{6}{5} x^{5}

Sattel (0, 0), Minimum (1, - \frac{1}{5})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

x^{6} - \frac{6}{5} x^{5} : 0

Sattel (0, 0)

Stecke

x = 1

x^{6} - \frac{6}{5} x^{5} : - \frac{1}{5}

Minimum (1, - \frac{1}{5})

Sattel (0, 0), Minimum (1, - \frac{1}{5})

e x t re m e P (x, y) = 0.3 + x^{2} + 0.2 y^{2} + 0.1 x y - 14 x - 10 y + 2000

e x t re m e f (x, y) = \frac{1}{2} x^{2} + \frac{1}{2} y^{2} - x^{2} y + 5

e x t re m e y = \frac{x ^{4}}{12} - \frac{x ^{3}}{2} + x^{2} + 10

e x t re m e f (x) = (x - 2)^{7} (x + 4)^{7}

e x t re m e sin^{8} (x) + cos^{8} (x)