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Beliebt Funktionen >

extreme f(t)= 1/9 [(t^3)/3+(3t^2)/2-28t]

Lösung

extrempunkte

f (t) = \frac{1}{9} [\frac{t ^{3}}{3} + \frac{3 t ^{2}}{2} - 28 t]

Lösung

Maximum (- 7, \frac{931}{54}), Minimum (4, - \frac{200}{27})

Schritte zur Lösung

f^{'} (t) = \frac{1}{9} (t^{2} + 3 t - 28)

Intervalle finden:

Ansteigend

: - \infty < t < - 7,

Absteigend

: - 7 < t < 4,

Ansteigend

: 4 < t < \infty

Stecke

t = - 7

in

\frac{1}{9} [\frac{t ^{3}}{3} + \frac{3 t ^{2}}{2} - 28 t] : \frac{931}{54}

Maximum (- 7, \frac{931}{54})

Stecke

t = 4

in

\frac{1}{9} [\frac{t ^{3}}{3} + \frac{3 t ^{2}}{2} - 28 t] : - \frac{200}{27}

Minimum (4, - \frac{200}{27})

Maximum (- 7, \frac{931}{54}), Minimum (4, - \frac{200}{27})

Graph

Beliebte Beispiele

extreme u(x,y)=(2-x)(y-1)+2(x-2)^2+2(y-1)^2-3

e x t re m e u (x, y) = (2 - x) (y - 1) + 2 (x - 2)^{2} + 2 (y - 1)^{2} - 3

extreme y= 1/3 xe^{sqrt(e)x^2}

e x t re m e y = \frac{1}{3} x e^{e x^{2}}

extreme f(x,y)=x^2-2x+6y^2+6

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

e x t re m e 4 x + 6 y

extreme (10)/(sqrt(-X+25))

e x t re m e \frac{10}{- X + 25}