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Beliebt Funktionen >

extreme f(x)=(x-4)ln(x-4)

Lösung

extrempunkte

f (x) = (x - 4) ln (x - 4)

Lösung

Minimum (\frac{1}{e} + 4, - \frac{1}{e})

Schritte zur Lösung

f^{'} (x) = ln (x - 4) + 1

Intervalle finden:

Absteigend

: 4 < x < \frac{1}{e} + 4,

Ansteigend

: \frac{1}{e} + 4 < x < \infty

Stecke

x = \frac{1}{e} + 4

in

(x - 4) ln (x - 4) : - \frac{1}{e}

Minimum (\frac{1}{e} + 4, - \frac{1}{e})

Graph

Beliebte Beispiele

extreme f(x,y)=5x^2+xy^2+y^2

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

extreme f(x)=1+12x-x^3

e x t re m e f (x) = 1 + 12 x - x^{3}

extreme f(x)=x^3+3x^2-9x-3

e x t re m e f (x) = x^{3} + 3 x^{2} - 9 x - 3

extreme f(x)=-x^3-8x

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

extreme f(x)=-5x^2+1630x

e x t re m e f (x) = - 5 x^{2} + 1630 x