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Beliebt Funktionen >

extreme f(x)=2x^3-39x^2+180x+1

Lösung

extrempunkte

f (x) = 2 x^{3} - 39 x^{2} + 180 x + 1

Lösung

Maximum (3, 244), Minimum (10, - 99)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 78 x + 180

Intervalle finden:

Ansteigend

: - \infty < x < 3,

Absteigend

: 3 < x < 10,

Ansteigend

: 10 < x < \infty

Stecke

x = 3

in

2 x^{3} - 39 x^{2} + 180 x + 1 : 244

Maximum (3, 244)

Stecke

x = 10

in

2 x^{3} - 39 x^{2} + 180 x + 1 : - 99

Minimum (10, - 99)

Maximum (3, 244), Minimum (10, - 99)

Graph

Beliebte Beispiele

extreme y=6x-12

e x t re m e y = 6 x - 12

extreme 1353.0186700000000…

e x t re m e 1353.0186700000000 \dots

extreme f(x)= 1/8 (x+4)^2(6-x)

e x t re m e f (x) = \frac{1}{8} (x + 4)^{2} (6 - x)

extreme f(x)=ln((4x^2)/(ln(x)))

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

extreme f(x)=-x^3+3x^2+9x-27

e x t re m e f (x) = - x^{3} + 3 x^{2} + 9 x - 27