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Beliebt Funktionen >

extreme f(x)=5x-ln(x)

Lösung

extrempunkte

f (x) = 5 x - ln (x)

Lösung

Minimum (\frac{1}{5}, 1 + ln (5))

Schritte zur Lösung

f^{'} (x) = 5 - \frac{1}{x}

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{5},

Ansteigend

: \frac{1}{5} < x < \infty

Stecke

x = \frac{1}{5}

in

5 x - ln (x) : 1 + ln (5)

Minimum (\frac{1}{5}, 1 + ln (5))

Graph

Beliebte Beispiele

extreme f(x)=x^4-12x^3+16x^2+5

e x t re m e f (x) = x^{4} - 12 x^{3} + 16 x^{2} + 5

extreme f(x)=4x^3-2y^2-12x+8y

e x t re m e f (x) = 4 x^{3} - 2 y^{2} - 12 x + 8 y

extreme f(x)=-x^3+3x^2+24x-4

e x t re m e f (x) = - x^{3} + 3 x^{2} + 24 x - 4

extreme f(x)=(x^2)/(ln(x))

e x t re m e f (x) = \frac{x ^{2}}{ln ( x )}

extreme f(x,y)=x^6+xy-2y-x+3

e x t re m e f (x, y) = x^{6} + x y - 2 y - x + 3