extreme \sqrt[9]{x^8}+1

Lösung

extrempunkte

9 x^{8} + 1

Minimum (0, 1)

Schritte zur Lösung

f^{'} (x) = \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = 0

9 x^{8} + 1 : 1

Minimum (0, 1)

e x t re m e f (x) = e

e x t re m e f (x, y) = 3 x^{2} - 9 y^{2} - 24 x - 54 y + 2

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

e x t re m e f (x) = (10 - 2 x) (10 - 2 x) (x)

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