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

Lösung

extrempunkte

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

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

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = 1

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

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

e x t re m e f (x) = x^{4} - 8 x^{3} + 5

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

e x t re m e 4 x^{2} + 4 y^{2} + x^{4} + y^{4} - 6 x^{2} y^{2}

e x t re m e y = \frac{x ^{2} - 6 x + 9}{( x - 1 ) ^{2}}

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