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Beliebt Funktionen >

extreme f(x)=x^5-10x^4-1=x^4(x-10)-1

Lösung

extrempunkte

f (x) = x^{5} - 10 x^{4} - 1 = x^{4} (x - 10) - 1

Lösung

Maximum (0, - 1), Minimum (8, - 8193)

Schritte zur Lösung

f^{'} (x) = 5 x^{3} (x - 8)

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 8,

Ansteigend

: 8 < x < \infty

Stecke

x = 0

in

x^{4} (x - 10) - 1 : - 1

Maximum (0, - 1)

Stecke

x = 8

in

x^{4} (x - 10) - 1 : - 8193

Minimum (8, - 8193)

Maximum (0, - 1), Minimum (8, - 8193)

Graph

Beliebte Beispiele

extreme f(x)=2x^3+3x^2-12x+4,-2<= x<= 5

e x t re m e f (x) = 2 x^{3} + 3 x^{2} - 12 x + 4, - 2 \leq x \leq 5

extreme f(x)=x^2+y^2-2y

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

extreme f(x)=x^2-12x+5

e x t re m e f (x) = x^{2} - 12 x + 5

extreme f(x)=x^2-y^2+21

e x t re m e f (x) = x^{2} - y^{2} + 21

extreme f(x,y)=(9x^2+4x+5)(9y^2+6y+6)

e x t re m e f (x, y) = (9 x^{2} + 4 x + 5) (9 y^{2} + 6 y + 6)