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Beliebt Funktionen >

extreme f(x)=102t+0.5t^2-t^3

Lösung

extrempunkte

f (x) = 102 t + 0.5 t^{2} - t^{3}

Lösung

Minimum (- \frac{17}{3}, - 379.98148 \dots), Maximum (6, 414)

Schritte zur Lösung

f^{'} (t) = 102 + t - 3 t^{2}

Intervalle finden:

Absteigend

: - \infty < t < - \frac{17}{3},

Ansteigend

: - \frac{17}{3} < t < 6,

Absteigend

: 6 < t < \infty

Stecke

t = - \frac{17}{3}

in

102 t + 0.5 t^{2} - t^{3} : - 379.98148 \dots

Minimum (- \frac{17}{3}, - 379.98148 \dots)

Stecke

t = 6

in

102 t + 0.5 t^{2} - t^{3} : 414

Maximum (6, 414)

Minimum (- \frac{17}{3}, - 379.98148 \dots), Maximum (6, 414)

Graph

Beliebte Beispiele

extreme f(x)=x^3-8x^2-12x+5

e x t re m e f (x) = x^{3} - 8 x^{2} - 12 x + 5

extreme f(x)=x^3-8x^2-12x+9

e x t re m e f (x) = x^{3} - 8 x^{2} - 12 x + 9

extreme f(x,y)=(2x-x^{(2)})(2y-y^{(2)})

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

extreme f(x)=8+(9+7x)^{2/7}

e x t re m e f (x) = 8 + (9 + 7 x)^{\frac{2}{7}}

extreme f(x)=6x+7y

e x t re m e f (x) = 6 x + 7 y