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Beliebt Funktionen >

extreme y=x^2+x+1

Lösung

extrempunkte

y = x^{2} + x + 1

Lösung

Minimum (- \frac{1}{2}, \frac{3}{4})

Schritte zur Lösung

f^{'} (x) = 2 x + 1

Intervalle finden:

Absteigend

: - \infty < x < - \frac{1}{2},

Ansteigend

: - \frac{1}{2} < x < \infty

Stecke

x = - \frac{1}{2}

in

x^{2} + x + 1 : \frac{3}{4}

Minimum (- \frac{1}{2}, \frac{3}{4})

Graph

Beliebte Beispiele

extreme f(x)=1+80x^3+5x^4-2x^5

e x t re m e f (x) = 1 + 80 x^{3} + 5 x^{4} - 2 x^{5}

extreme f(x)=18xy-x^3-9y^2

e x t re m e f (x) = 18 x y - x^{3} - 9 y^{2}

extreme f(x)=15x^4-4x^3,-2<= x<= 2

e x t re m e f (x) = 15 x^{4} - 4 x^{3}, - 2 \leq x \leq 2

extreme y=2x^3-24x^2+90x+8

e x t re m e y = 2 x^{3} - 24 x^{2} + 90 x + 8

extreme f(x)=x^{2/3}(x-3)

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