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Beliebt Funktionen >

extreme x^2+x-6

Lösung

extrempunkte

x^{2} + x - 6

Lösung

Minimum (- \frac{1}{2}, - \frac{25}{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 - 6 : - \frac{25}{4}

Minimum (- \frac{1}{2}, - \frac{25}{4})

Graph

Beliebte Beispiele

derivative of 7x^3y^2+34x^2y^5

\frac{d}{d x} (7 x^{3} y^{2} + 34 x^{2} y^{5})

extreme f(x)=7x^9-9x^7-7,-3<= x<= 3

e x t re m e f (x) = 7 x^{9} - 9 x^{7} - 7, - 3 \leq x \leq 3

extreme f(x)=8x^3-x^4

e x t re m e f (x) = 8 x^{3} - x^{4}

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

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

extreme y=(x^3)/3+4x^2+15x+7

e x t re m e y = \frac{x ^{3}}{3} + 4 x^{2} + 15 x + 7