extreme 8x+2/x

Lösung

extrempunkte

8 x + \frac{2}{x}

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

Schritte zur Lösung

f^{'} (x) = 8 - \frac{2}{x ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1}{2},

Absteigend

: - \frac{1}{2} < x < 0,

Absteigend

: 0 < x < \frac{1}{2},

Ansteigend

: \frac{1}{2} < x < \infty

Stecke

x = - \frac{1}{2}

8 x + \frac{2}{x} : - 8

Maximum (- \frac{1}{2}, - 8)

Stecke

x = \frac{1}{2}

8 x + \frac{2}{x} : 8

Minimum (\frac{1}{2}, 8)

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

e x t re m e f (x) = x^{3} - y^{3} + 6 x y - 10

e x t re m e f (x) = \frac{4860}{x} + 11 x + 710272

e x t re m e f (x) = 6 + 5 x - 5 x^{2}

e x t re m e f (x, y, z) = ln (4 - x - y)

e x t re m e \frac{0.5 x ^{2} + 4 x - 10}{x - 6}