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Beliebt Rechnen >

f(x)=(sqrt(x)+1/(\sqrt[3]{x)})^2

Lösung

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

Lösung

Domain : x > 0

Range : f (x) \geq (\frac{2}{3})^{\frac{6}{5}} + \frac{1}{3 ( \frac{2}{3} ) ^{\frac{6}{5}}}^{2}

Intercepts : Keine

Asymptotes : Vertikal x = 0

Extreme Points : Minimum (\frac{2}{3})^{\frac{6}{5}}, (\frac{2}{3})^{\frac{6}{5}} + \frac{1}{3 ( \frac{2}{3} ) ^{\frac{6}{5}}}^{2}

+1

Intervall-Notation

Domain : (0, \infty)

Range : (\frac{2}{3})^{\frac{6}{5}} + \frac{1}{3 ( \frac{2}{3} ) ^{\frac{6}{5}}}^{2}, \infty

Schritte zur Lösung

Bereich von

(x + \frac{1}{3 x})^{2} : x > 0

Bereich von

(x + \frac{1}{3 x})^{2} : f (x) \geq (\frac{2}{3})^{\frac{6}{5}} + \frac{1}{3 ( \frac{2}{3} ) ^{\frac{6}{5}}}^{2}

Schnittpunkte mit der Achse von

(x + \frac{1}{3 x})^{2} :

Keine

Asymptoten von

(x + \frac{1}{3 x})^{2} :

Vertikal

: x = 0

Extrempunkte vonf

(x + \frac{1}{3 x})^{2} :

Minimum

(\frac{2}{3})^{\frac{6}{5}}, (\frac{2}{3})^{\frac{6}{5}} + \frac{1}{3 ( \frac{2}{3} ) ^{\frac{6}{5}}}^{2}

Graph

Beliebte Beispiele

maclaurin ln(1+5x)

ma c l a u r in ln (1 + 5 x)

integral of sqrt(x)sqrt(x^{3/2)-1}

\int x x^{\frac{3}{2}} - 1 d x

(2x+2/y)+(((2x^2))/y+(2x)/(y^2))y^'=0

(2 x + \frac{2}{y}) + (\frac{( 2 x ^{2} )}{y} + \frac{2 x}{y ^{2}}) y^{^{'}} = 0

tangent f(x)=x^4-10x^2+9

t an g e n t f (x) = x^{4} - 10 x^{2} + 9

derivative of 3x^2+1/(x^3)

\frac{d}{d x} (3 x^{2} + \frac{1}{x ^{3}})