derivative arctan(x/6)

Lösung

ableitung von

arctan (\frac{x}{6})

\frac{6}{x ^{2} + 36}

Schritte zur Lösung

\frac{d}{d x} (arctan (\frac{x}{6}))

Wende die Kettenregel an:

\frac{1}{( \frac{x}{6} ) ^{2} + 1} \frac{d}{d x} (\frac{x}{6})

= \frac{1}{( \frac{x}{6} ) ^{2} + 1} \frac{d}{d x} (\frac{x}{6})

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

= \frac{1}{( \frac{x}{6} ) ^{2} + 1} \cdot \frac{1}{6}

Vereinfache

\frac{1}{( \frac{x}{6} ) ^{2} + 1} \cdot \frac{1}{6} : \frac{6}{x ^{2} + 36}

= \frac{6}{x ^{2} + 36}

\frac{\partial}{\partial x} (π \cdot x x^{2} + y^{2})

\frac{d}{d x} (ln (\frac{1}{6 + x}))

x \to 3 lim (x + 1)

\int sech^{2} (x) d x

l a pl a ce t r an s f or m \frac{1}{2} (t - 2)^{2}