extreme f(x)= 1/x+ln(x)

Lösung

extrempunkte

f (x) = \frac{1}{x} + ln (x)

Minimum (1, 1)

Schritte zur Lösung

f^{'} (x) = - \frac{1}{x ^{2}} + \frac{1}{x}

Intervalle finden:

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 1

\frac{1}{x} + ln (x) : 1

Minimum (1, 1)

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

e x t re m e f (x) = 16 - 4 x^{2} - y^{2}

F (m, a) = ma

e x t re m e f (x) = 10 + 12 x - 3 x^{2} - 2 x^{3}

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