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Beliebt Funktionen >

extreme f(x)=-3x^2+10x-3

Lösung

extrempunkte

f (x) = - 3 x^{2} + 10 x - 3

Lösung

Maximum (\frac{5}{3}, \frac{16}{3})

Schritte zur Lösung

f^{'} (x) = - 6 x + 10

Intervalle finden:

Ansteigend

: - \infty < x < \frac{5}{3},

Absteigend

: \frac{5}{3} < x < \infty

Stecke

x = \frac{5}{3}

in

- 3 x^{2} + 10 x - 3 : \frac{16}{3}

Maximum (\frac{5}{3}, \frac{16}{3})

Graph

Beliebte Beispiele

extreme f(x)=10-8x^2

e x t re m e f (x) = 10 - 8 x^{2}

extreme f(x)=|-4x-5|,-5<x<1

e x t re m e f (x) = ∣ - 4 x - 5 ∣, - 5 < x < 1

extreme f(x)=3x^2+12xy+9x^2+y^3

e x t re m e f (x) = 3 x^{2} + 12 x y + 9 x^{2} + y^{3}

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

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

extreme 7te^{-t/(15)}

e x t re m e 7 t e^{- \frac{t}{15}}