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Beliebt Funktionen >

extreme y=-4x^2-5x+1

Lösung

extrempunkte

y = - 4 x^{2} - 5 x + 1

Lösung

Maximum (- \frac{5}{8}, \frac{41}{16})

Schritte zur Lösung

f^{'} (x) = - 8 x - 5

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{5}{8},

Absteigend

: - \frac{5}{8} < x < \infty

Stecke

x = - \frac{5}{8}

in

- 4 x^{2} - 5 x + 1 : \frac{41}{16}

Maximum (- \frac{5}{8}, \frac{41}{16})

Graph

Beliebte Beispiele

extreme f(x)=|(x^2-7x-6)/(x-5)|

e x t re m e f (x) = \frac{x ^{2} - 7 x - 6}{x - 5}

extreme (x+1)^3(x-3)

e x t re m e (x + 1)^{3} (x - 3)

extreme f(x)=2x^3+9x^2-60x+6,-5<= x<= 5

e x t re m e f (x) = 2 x^{3} + 9 x^{2} - 60 x + 6, - 5 \leq x \leq 5

extreme f(x)=x^{1/7}

e x t re m e f (x) = x^{\frac{1}{7}}

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

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