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Beliebt Funktionen >

extreme f(x)=3x^{2/3}-2x[-1.1]

Lösung

extrempunkte

f (x) = 3 x^{\frac{2}{3}} - 2 x [- 1.1]

Lösung

Maximum (- \frac{1000}{1331}, 0.82644 \dots)

Schritte zur Lösung

f^{'} (x) = \frac{2}{x ^{\frac{1}{3}}} + 2.2

Intervalle finden:

Absteigend

: - \infty < x < - \frac{10.648}{8},

Ansteigend

: - \frac{10.648}{8} < x < \infty

Stecke

x = - \frac{1000}{1331}

in

3 x^{\frac{2}{3}} - 2 x [- 1.1] : 0.82644 \dots

Maximum (- \frac{1000}{1331}, 0.82644 \dots)

Graph

Beliebte Beispiele

extreme f(x)=x^2+3x+5

e x t re m e f (x) = x^{2} + 3 x + 5

extreme f(x,y)= 1/3 sqrt(36-4x^2-9y^2)

e x t re m e f (x, y) = \frac{1}{3} 36 - 4 x^{2} - 9 y^{2}

extreme f(x)=-x^7ln(3x),(0,4)

e x t re m e f (x) = - x^{7} ln (3 x), (0, 4)

extreme (x^2)/(-x^2+4)

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

extreme y=x^xIn(x^5+x)

e x t re m e y = x^{x} I n (x^{5} + x)