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Beliebt Funktionen >

extreme y=(6x-5)e^{6-2x}

Lösung

extrempunkte

y = (6 x - 5) e^{6 - 2 x}

Lösung

Maximum (\frac{4}{3}, 3 e^{\frac{10}{3}})

Schritte zur Lösung

f^{'} (x) = - 4 e^{- 2 (- 3 + x)} (3 x - 4)

Intervalle finden:

Ansteigend

: - \infty < x < \frac{4}{3},

Absteigend

: \frac{4}{3} < x < \infty

Stecke

x = \frac{4}{3}

in

(6 x - 5) e^{6 - 2 x} : 3 e^{\frac{10}{3}}

Maximum (\frac{4}{3}, 3 e^{\frac{10}{3}})

Graph

Beliebte Beispiele

extreme f(x,y)=sqrt(1-x^2)+sqrt(1-y^2)

e x t re m e f (x, y) = 1 - x^{2} + 1 - y^{2}

extreme-xe^{-x/4}

e x t re m e - x e^{- \frac{x}{4}}

extreme f(x)=x^2-2x,1<= x<= 3

e x t re m e f (x) = x^{2} - 2 x, 1 \leq x \leq 3

extreme f(x)=x^2-2x,1<= x<= 4

e x t re m e f (x) = x^{2} - 2 x, 1 \leq x \leq 4

extreme f(x)=(7x)/(sqrt(x-4))

e x t re m e f (x) = \frac{7 x}{x - 4}