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Beliebt Funktionen >

extreme f(x)=(e^{x-1})/x

Lösung

extrempunkte

f (x) = \frac{e ^{x - 1}}{x}

Lösung

Minimum (1, 1)

Schritte zur Lösung

f^{'} (x) = \frac{e ^{x - 1} x - e ^{x - 1}}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 1

in

\frac{e ^{x - 1}}{x} : 1

Minimum (1, 1)

Graph

Beliebte Beispiele

extreme f(x,y)=sqrt(4-x^2-y^2)+sqrt(1-y^2)

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

extreme f(x)=-x^2-8x-12

e x t re m e f (x) = - x^{2} - 8 x - 12

extreme f(x)= 1/(x(x-6))

e x t re m e f (x) = \frac{1}{x ( x - 6 )}

extreme f(x)=x^6e^{-x}

e x t re m e f (x) = x^{6} e^{- x}

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

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