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Beliebt Funktionen >

extreme f(x)=4+(4+3x)^{2/3}

Lösung

extrempunkte

f (x) = 4 + (4 + 3 x)^{\frac{2}{3}}

Lösung

Minimum (- \frac{4}{3}, 4)

Schritte zur Lösung

f^{'} (x) = \frac{2}{( 3 x + 4 ) ^{\frac{1}{3}}}

Intervalle finden:

Absteigend

: - \infty < x < - \frac{4}{3},

Ansteigend

: - \frac{4}{3} < x < \infty

Stecke

x = - \frac{4}{3}

in

4 + (4 + 3 x)^{\frac{2}{3}} : 4

Minimum (- \frac{4}{3}, 4)

Graph

Beliebte Beispiele

extreme f(x)=6x+6/x

e x t re m e f (x) = 6 x + \frac{6}{x}

extreme f(x,y)=x^2-3xy-y^2

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

extreme p(x)=12x^4-27x^3+ax^2+27x-6

e x t re m e p (x) = 12 x^{4} - 27 x^{3} + a x^{2} + 27 x - 6

extreme f(x,y)=x^3-3x+y^2+6y+8

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

extreme y=(x^2)/(ln(x))

e x t re m e y = \frac{x ^{2}}{ln ( x )}