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Beliebt Funktionen >

extreme f(x)=x^3-9x^2+10

Lösung

extrempunkte

f (x) = x^{3} - 9 x^{2} + 10

Lösung

Maximum (0, 10), Minimum (6, - 98)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 18 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

x^{3} - 9 x^{2} + 10 : 10

Maximum (0, 10)

Stecke

x = 6

in

x^{3} - 9 x^{2} + 10 : - 98

Minimum (6, - 98)

Maximum (0, 10), Minimum (6, - 98)

Graph

Beliebte Beispiele

extreme f(x)= 2/3 x^3+2x^2+6x-2

e x t re m e f (x) = \frac{2}{3} x^{3} + 2 x^{2} + 6 x - 2

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

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

extreme f(x)= x/(x^2-7)

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

extreme f(x,y)=3x^2+3y-y^3

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

extreme f(x)=(4x)/(4+x^2+y^2)

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