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Beliebt Funktionen >

extreme 6x^2+30x-84

Lösung

extrempunkte

6 x^{2} + 30 x - 84

Lösung

Minimum (- \frac{5}{2}, - \frac{243}{2})

Schritte zur Lösung

f^{'} (x) = 12 x + 30

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = - \frac{5}{2}

in

6 x^{2} + 30 x - 84 : - \frac{243}{2}

Minimum (- \frac{5}{2}, - \frac{243}{2})

Graph

Beliebte Beispiele

extreme y=r-(x-sqrt(r))^2

e x t re m e y = r - (x - r)^{2}

extreme f(x)=2x^3-30x^2+96x+4,0<= x<= 12

e x t re m e f (x) = 2 x^{3} - 30 x^{2} + 96 x + 4, 0 \leq x \leq 12

extreme f(x)=3x-x^2+40

e x t re m e f (x) = 3 x - x^{2} + 40

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

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

extreme f(x)=(x-4)^2(x-2)

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