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Beliebt Funktionen >

extreme f(x)=-6x+e^x

Lösung

extrempunkte

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

Lösung

Minimum (ln (6), - 6 ln (6) + 6)

Schritte zur Lösung

f^{'} (x) = - 6 + e^{x}

Intervalle finden:

Absteigend

: - \infty < x < ln (6),

Ansteigend

: ln (6) < x < \infty

Stecke

x = ln (6)

in

- 6 x + e^{x} : - 6 ln (6) + 6

Minimum (ln (6), - 6 ln (6) + 6)

Graph

Beliebte Beispiele

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

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

extreme f(x)=x^4+x^3

e x t re m e f (x) = x^{4} + x^{3}

extreme f(x)=x^4+x^2

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

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

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

extreme f(x)=380x^2-3800x^3

e x t re m e f (x) = 380 x^{2} - 3800 x^{3}