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Beliebt Funktionen >

extreme f(x)=-5t^2+61t+18

Lösung

extrempunkte

f (x) = - 5 t^{2} + 61 t + 18

Lösung

Maximum (\frac{61}{10}, \frac{4081}{20})

Schritte zur Lösung

f^{'} (t) = - 10 t + 61

Intervalle finden:

Ansteigend

: - \infty < t < \frac{61}{10},

Absteigend

: \frac{61}{10} < t < \infty

Stecke

t = \frac{61}{10}

in

- 5 t^{2} + 61 t + 18 : \frac{4081}{20}

Maximum (\frac{61}{10}, \frac{4081}{20})

Graph

Beliebte Beispiele

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

e x t re m e f (x) = \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 2 x + 1

extreme s(t)=-t^2+5t+1

e x t re m e s (t) = - t^{2} + 5 t + 1

extreme f(x)=x^3+3x^4

e x t re m e f (x) = x^{3} + 3 x^{4}

extreme f(x)=-x+49

e x t re m e f (x) = - x + 49

extreme f(x,y)=x^2-2x+4y-y^2

e x t re m e f (x, y) = x^{2} - 2 x + 4 y - y^{2}