extreme (18)/x+3x^2

Lösung

extrempunkte

\frac{18}{x} + 3 x^{2}

Minimum (33, 9 \cdot 3^{\frac{2}{3}})

Schritte zur Lösung

f^{'} (x) = - \frac{18}{x ^{2}} + 6 x

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 33,

Ansteigend

: 33 < x < \infty

Stecke

x = 33

\frac{18}{x} + 3 x^{2} : 9 \cdot 3^{\frac{2}{3}}

Minimum (33, 9 \cdot 3^{\frac{2}{3}})

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

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

e x t re m e f (x, y) = 2 x^{2} + 3 y^{2} + 2 x y - 6 x - 8 y + 11

e x t re m e f (x, y) = x^{2} - 2 x y + \frac{1}{3} y^{3} - 4 y

e x t re m e f (x) = 4 x^{5} - 25 x^{4} + 40 x^{3} - 4 [- 1.4]