derivative of (x^3/(24)+2/x)

Lösung

\frac{d}{d x} (\frac{x ^{3}}{24} + \frac{2}{x})

\frac{x ^{2}}{8} - \frac{2}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{3}}{24} + \frac{2}{x})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{x ^{3}}{24}) + \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (\frac{x ^{3}}{24}) = \frac{x ^{2}}{8}

\frac{d}{d x} (\frac{2}{x}) = - \frac{2}{x ^{2}}

= \frac{x ^{2}}{8} - \frac{2}{x ^{2}}

\frac{d}{d x} (cos (x y) - 3 y^{4} + 3)

\frac{\partial}{\partial x} (\frac{A}{x + 5 x})

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

\frac{\partial}{\partial y} (x^{\frac{1}{3}} y^{\frac{2}{3}})

\int \frac{x ^{2} + 6 x + 2}{x ^{3} + 9 x ^{2} + 6 x + 9} d x