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Beliebt Funktionen >

extreme f(x)=(x-9)e^x

Lösung

extrempunkte

f (x) = (x - 9) e^{x}

Lösung

Minimum (8, - e^{8})

Schritte zur Lösung

f^{'} (x) = e^{x} (x - 8)

Intervalle finden:

Absteigend

: - \infty < x < 8,

Ansteigend

: 8 < x < \infty

Stecke

x = 8

in

(x - 9) e^{x} : - e^{8}

Minimum (8, - e^{8})

Graph

Beliebte Beispiele

extreme f(x)=\sqrt[3]{x},27<= x<= 64

e x t re m e f (x) = 3 x, 27 \leq x \leq 64

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

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

extreme f(x)=\sqrt[3]{x}(x-1)

e x t re m e f (x) = 3 x (x - 1)

extreme f(x)=x-2sqrt(x),(0,9)

e x t re m e f (x) = x - 2 x, (0, 9)

extreme-80e^x+2xe^x+2x^2e^x-1

e x t re m e - 80 e^{x} + 2 x e^{x} + 2 x^{2} e^{x} - 1