extreme f(x)=2x-6x^{1/3}

Lösung

extrempunkte

f (x) = 2 x - 6 x^{\frac{1}{3}}

Minimum (- 1, 4), Maximum (1, - 4)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = - 1

2 x - 6 x^{\frac{1}{3}} : 4

Minimum (- 1, 4)

Stecke

x = 1

2 x - 6 x^{\frac{1}{3}} : - 4

Maximum (1, - 4)

Minimum (- 1, 4), Maximum (1, - 4)

e x t re m e f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 11

e x t re m e f (x) = (1 + \frac{20}{x}) x^{2} + 144

e x t re m e 4 sin (x) + 4 cos (x), 0 \leq x \leq \frac{π}{2}

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

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