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Beliebt Funktionen >

extreme f(x)=-x^2+7x-17

Lösung

extrempunkte

f (x) = - x^{2} + 7 x - 17

Lösung

Maximum (\frac{7}{2}, - \frac{19}{4})

Schritte zur Lösung

f^{'} (x) = - 2 x + 7

Intervalle finden:

Ansteigend

: - \infty < x < \frac{7}{2},

Absteigend

: \frac{7}{2} < x < \infty

Stecke

x = \frac{7}{2}

in

- x^{2} + 7 x - 17 : - \frac{19}{4}

Maximum (\frac{7}{2}, - \frac{19}{4})

Graph

Beliebte Beispiele

extreme y=In|sec(5x)+tan(5x)|

e x t re m e y = I n ∣ sec (5 x) + tan (5 x) ∣

extreme f(x)=x^3-3x^2-24x+5

e x t re m e f (x) = x^{3} - 3 x^{2} - 24 x + 5

extreme f(x,y)=12xy-x^3-6y^2

e x t re m e f (x, y) = 12 x y - x^{3} - 6 y^{2}

extreme f(x,y)=xy+(27)/x+(27)/y

e x t re m e f (x, y) = x y + \frac{27}{x} + \frac{27}{y}

extreme 2x^3+3x^2-12x+1

e x t re m e 2 x^{3} + 3 x^{2} - 12 x + 1