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Beliebt Funktionen >

extreme f(x)=(e^{2x})/(x-3)

Lösung

extrempunkte

f (x) = \frac{e ^{2 x}}{x - 3}

Lösung

Minimum (\frac{7}{2}, 2 e^{7})

Schritte zur Lösung

f^{'} (x) = \frac{2 e ^{2 x} x - 7 e ^{2 x}}{( x - 3 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 3,

Absteigend

: 3 < x < \frac{7}{2},

Ansteigend

: \frac{7}{2} < x < \infty

Stecke

x = \frac{7}{2}

in

\frac{e ^{2 x}}{x - 3} : 2 e^{7}

Minimum (\frac{7}{2}, 2 e^{7})

Graph

Beliebte Beispiele

extreme f(x)=8-x,-1<= x<= 3

e x t re m e f (x) = 8 - x, - 1 \leq x \leq 3

extreme P(x,y)=x^2+5xy-4y^2

e x t re m e P (x, y) = x^{2} + 5 x y - 4 y^{2}

extreme f(x)=cos(3x),-1/6 pi<x< 1/2 pi

e x t re m e f (x) = cos (3 x), - \frac{1}{6} π < x < \frac{1}{2} π

extreme f(x)=8x^3

e x t re m e f (x) = 8 x^{3}

extreme f(x)=8x^{1/3}-x^{4/3},-8<= x<= 8

e x t re m e f (x) = 8 x^{\frac{1}{3}} - x^{\frac{4}{3}}, - 8 \leq x \leq 8