extreme x^4-8x^2-10

Lösung

extrempunkte

x^{4} - 8 x^{2} - 10

Minimum (- 2, - 26), Maximum (0, - 10), Minimum (2, - 26)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 16 x

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 2

x^{4} - 8 x^{2} - 10 : - 26

Minimum (- 2, - 26)

Stecke

x = 0

x^{4} - 8 x^{2} - 10 : - 10

Maximum (0, - 10)

Stecke

x = 2

x^{4} - 8 x^{2} - 10 : - 26

Minimum (2, - 26)

Minimum (- 2, - 26), Maximum (0, - 10), Minimum (2, - 26)

e x t re m e f (x) = \frac{4 x ^{2}}{2} + \frac{x ^{2}}{2}

e x t re m e f (r, h) = 2 π r h + 2 π r^{2}

e x t re m e 77

e x t re m e f (x) = x^{3} + 10 x - 7

e x t re m e f (x) = 9 x - 18 cos (x)