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Beliebt Funktionen >

extreme y=2x^3-21x^2+60x+4

Lösung

extrempunkte

y = 2 x^{3} - 21 x^{2} + 60 x + 4

Lösung

Maximum (2, 56), Minimum (5, 29)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 42 x + 60

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = 2

in

2 x^{3} - 21 x^{2} + 60 x + 4 : 56

Maximum (2, 56)

Stecke

x = 5

in

2 x^{3} - 21 x^{2} + 60 x + 4 : 29

Minimum (5, 29)

Maximum (2, 56), Minimum (5, 29)

Graph

Beliebte Beispiele

extreme a^3y=x^2(2a^2x^2)

e x t re m e a^{3} y = x^{2} (2 a^{2} x^{2})

extreme f(x)=5-6x^2-2x^3

e x t re m e f (x) = 5 - 6 x^{2} - 2 x^{3}

extreme 3/2 x^2+x^3+3y^2

e x t re m e \frac{3}{2} x^{2} + x^{3} + 3 y^{2}

extreme y=u(t-1)-u(t-4)

e x t re m e y = u (t - 1) - u (t - 4)

extreme f(x)=sqrt(x)+\sqrt[3]{x}[0.4]

e x t re m e f (x) = x + 3 x [0.4]