extreme x(3-x)

Lösung

extrempunkte

x (3 - x)

Maximum (\frac{3}{2}, \frac{9}{4})

Schritte zur Lösung

f^{'} (x) = 3 - 2 x

Intervalle finden:

Ansteigend

: - \infty < x < \frac{3}{2},

Absteigend

: \frac{3}{2} < x < \infty

Stecke

x = \frac{3}{2}

x (3 - x) : \frac{9}{4}

Maximum (\frac{3}{2}, \frac{9}{4})

e x t re m e f (x) = y \cdot e^{x} + x \cdot ln (y)

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

e x t re m e f (x, y) = \frac{69120}{x} + \frac{69120}{y} + 5 x y

e x t re m e f (x) = 4 x^{2} - 8 x + 7 y^{2} + 8

e x t re m e \frac{2 x - 5}{3 3 x} + x^{\frac{2}{3}}