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Beliebt Funktionen >

extreme g(x)=x^3-12x^2+45x+4

Lösung

extrempunkte

g (x) = x^{3} - 12 x^{2} + 45 x + 4

Lösung

Maximum (3, 58), Minimum (5, 54)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 24 x + 45

Intervalle finden:

Ansteigend

: - \infty < x < 3,

Absteigend

: 3 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = 3

in

x^{3} - 12 x^{2} + 45 x + 4 : 58

Maximum (3, 58)

Stecke

x = 5

in

x^{3} - 12 x^{2} + 45 x + 4 : 54

Minimum (5, 54)

Maximum (3, 58), Minimum (5, 54)

Graph

Beliebte Beispiele

extreme g(x)=x^3-12x^2+45x+1

e x t re m e g (x) = x^{3} - 12 x^{2} + 45 x + 1

extreme g(x)=x^3-12x^2+45x+2

e x t re m e g (x) = x^{3} - 12 x^{2} + 45 x + 2

extreme g(x)=x^3-12x^2+45x+7

e x t re m e g (x) = x^{3} - 12 x^{2} + 45 x + 7

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

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

extreme f(x)=((x^2-1))/(x^2+2x-3)

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