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Beliebt Funktionen >

extreme f(x)=-x^2-5x+1

Lösung

extrempunkte

f (x) = - x^{2} - 5 x + 1

Lösung

Maximum (- \frac{5}{2}, \frac{29}{4})

Schritte zur Lösung

f^{'} (x) = - 2 x - 5

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{5}{2},

Absteigend

: - \frac{5}{2} < x < \infty

Stecke

x = - \frac{5}{2}

in

- x^{2} - 5 x + 1 : \frac{29}{4}

Maximum (- \frac{5}{2}, \frac{29}{4})

Graph

Beliebte Beispiele

extreme f(x)=(x^4)/4-(4x^3)/3+2x^2-1

e x t re m e f (x) = \frac{x ^{4}}{4} - \frac{4 x ^{3}}{3} + 2 x^{2} - 1

extreme-30x^2-25y^2+480x+300y+170

e x t re m e - 30 x^{2} - 25 y^{2} + 480 x + 300 y + 170

extreme f(x)=((x-2)^2)/(x-5)

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

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e x t re m e f (x) = 3 x^{3} + 4 x^{2} + 3 x - 1