derivative \sqrt[10]{x}

Lösung

ableitung von

10 x

\frac{1}{10 x ^{\frac{9}{10}}}

Schritte zur Lösung

\frac{d}{d x} (10 x)

Wende Radikal Regel an:

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

= \frac{d}{d x} (x^{\frac{1}{10}})

Wende die Potenzregel an:

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

= \frac{1}{10} x^{\frac{1}{10} - 1}

Vereinfache

\frac{1}{10} x^{\frac{1}{10} - 1} : \frac{1}{10 x ^{\frac{9}{10}}}

= \frac{1}{10 x ^{\frac{9}{10}}}

t an g e n t y = \frac{14}{1 + e ^{- x}}, (0, 7)

\int 13 ln (x^{2} - x + 6) d x

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

\frac{\partial}{\partial x} (x^{2} - \frac{y}{4})

n = 2 \sum \infty \frac{1}{n ^{3} + n}