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Beliebt Funktionen >

extreme f(x)=(e^x)/(x^7)

Lösung

extrempunkte

f (x) = \frac{e ^{x}}{x ^{7}}

Lösung

Minimum (7, \frac{e ^{7}}{823543})

Schritte zur Lösung

f^{'} (x) = \frac{e ^{x} ( x - 7 )}{x ^{8}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 7,

Ansteigend

: 7 < x < \infty

Stecke

x = 7

in

\frac{e ^{x}}{x ^{7}} : \frac{e ^{7}}{823543}

Minimum (7, \frac{e ^{7}}{823543})

Graph

Beliebte Beispiele

extreme f(x)=7x^4-2x^2-8x+8

e x t re m e f (x) = 7 x^{4} - 2 x^{2} - 8 x + 8

extreme f(x)=(x^3)/(-x^2+4)

e x t re m e f (x) = \frac{x ^{3}}{- x ^{2} + 4}

extreme f(x)=((x^2-63))/(x-8)

e x t re m e f (x) = \frac{( x ^{2} - 63 )}{x - 8}

extreme x^3+8y^3-6xy+5

e x t re m e x^{3} + 8 y^{3} - 6 x y + 5

extreme f(x)=4x^3-60x^2+200x

e x t re m e f (x) = 4 x^{3} - 60 x^{2} + 200 x