d/(dy)(\sqrt[3]{y})

Lösung

\frac{d}{d y} (3 y)

\frac{1}{3 y ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d y} (3 y)

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

= \frac{d}{d y} (y^{\frac{1}{3}})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{3} y^{\frac{1}{3} - 1}

Vereinfache

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

= \frac{1}{3 y ^{\frac{2}{3}}}

\int \frac{12 y ^{2}}{4 y ^{3} + 1} d y

\frac{\partial}{\partial x} (sin (8 x - 3 y))

\int \frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )}

n = 0 \sum \infty e^{- \frac{3}{n ^{2}}}

n = 0 \sum \infty (1 + \frac{k}{n})^{n}