derivative of arcsin(x/(10))

Lösung

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

\frac{1}{100 - x ^{2}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{1 - ( \frac{x}{10} ) ^{2}} \frac{d}{d x} (\frac{x}{10})

= \frac{1}{1 - ( \frac{x}{10} ) ^{2}} \frac{d}{d x} (\frac{x}{10})

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

= \frac{1}{1 - ( \frac{x}{10} ) ^{2}} \cdot \frac{1}{10}

Vereinfache

\frac{1}{1 - ( \frac{x}{10} ) ^{2}} \cdot \frac{1}{10} : \frac{1}{100 - x ^{2}}

= \frac{1}{100 - x ^{2}}

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

d er i v a t i v e f (t) = t^{\frac{1}{2}} (13 t + 2)

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\int_{3}^{5} \frac{x ^{2}}{8} d x

n = 1 \sum \infty \frac{n}{1000 n + 1}