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Beliebt Funktionen >

extreme f(x)=3x^2-12x+15

Lösung

extrempunkte

f (x) = 3 x^{2} - 12 x + 15

Lösung

Minimum (2, 3)

Schritte zur Lösung

f^{'} (x) = 6 x - 12

Intervalle finden:

Absteigend

: - \infty < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 2

in

3 x^{2} - 12 x + 15 : 3

Minimum (2, 3)

Graph

Beliebte Beispiele

extreme f(x,y)=4x^2-3xy+y^2

e x t re m e f (x, y) = 4 x^{2} - 3 x y + y^{2}

extreme f(x)=x^5-2x^3+x+xy^2

e x t re m e f (x) = x^{5} - 2 x^{3} + x + x y^{2}

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

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

extreme f(x)=x^3-6x^2+10

e x t re m e f (x) = x^{3} - 6 x^{2} + 10

extreme f(x,y)=3+sqrt(1-((x-2)^2)/4-((y-3)^2)/9)

e x t re m e f (x, y) = 3 + 1 - \frac{( x - 2 ) ^{2}}{4} - \frac{( y - 3 ) ^{2}}{9}