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Beliebt Funktionen >

extreme f(x)=e^{x^2-8x-1}

Lösung

extrempunkte

f (x) = e^{x^{2} - 8 x - 1}

Lösung

Minimum (4, \frac{1}{e ^{17}})

Schritte zur Lösung

f^{'} (x) = e^{x^{2} - 8 x - 1} (2 x - 8)

Intervalle finden:

Absteigend

: - \infty < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 4

in

e^{x^{2} - 8 x - 1} : \frac{1}{e ^{17}}

Minimum (4, \frac{1}{e ^{17}})

Graph

Beliebte Beispiele

extreme f(x,y)=sqrt(36-x^2-y^2)

e x t re m e f (x, y) = 36 - x^{2} - y^{2}

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

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

extreme xsqrt(4-x^2)

e x t re m e x 4 - x^{2}

extreme f(x,y)=4x^2+8x+4y^2+4

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

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

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