derivative \sqrt[6]{u}

Lösung

ableitung von

6 u

\frac{1}{6 u ^{\frac{5}{6}}}

Schritte zur Lösung

\frac{d}{d u} (6 u)

Wende Radikal Regel an:

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

= \frac{d}{d u} (u^{\frac{1}{6}})

Wende die Potenzregel an:

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

= \frac{1}{6} u^{\frac{1}{6} - 1}

Vereinfache

\frac{1}{6} u^{\frac{1}{6} - 1} : \frac{1}{6 u ^{\frac{5}{6}}}

= \frac{1}{6 u ^{\frac{5}{6}}}

x \to \frac{π}{2} lim (sec^{2} (x))

\int x \cdot 1 + \frac{1}{4 x} d x

\int 2 sin^{2} (x) cos^{3} (x) d x

\int \frac{1}{a ^{2} - u ^{2}} d u

\frac{\partial}{\partial x} (e^{- x^{2}})