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Beliebt Funktionen >

extreme f(x)=2x^3-36x^2+210x-15

Lösung

extrempunkte

f (x) = 2 x^{3} - 36 x^{2} + 210 x - 15

Lösung

Maximum (5, 385), Minimum (7, 377)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 72 x + 210

Intervalle finden:

Ansteigend

: - \infty < x < 5,

Absteigend

: 5 < x < 7,

Ansteigend

: 7 < x < \infty

Stecke

x = 5

in

2 x^{3} - 36 x^{2} + 210 x - 15 : 385

Maximum (5, 385)

Stecke

x = 7

in

2 x^{3} - 36 x^{2} + 210 x - 15 : 377

Minimum (7, 377)

Maximum (5, 385), Minimum (7, 377)

Graph

Beliebte Beispiele

extreme f(x)=-4cos(3x)-4

e x t re m e f (x) = - 4 cos (3 x) - 4

extreme f(x,y)=200y^2+x^2-x^2y

e x t re m e f (x, y) = 200 y^{2} + x^{2} - x^{2} y

extreme 2x^4-16x^2+3

e x t re m e 2 x^{4} - 16 x^{2} + 3

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

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

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

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