derivative of tan(x/5)

Lösung

\frac{d}{d x} (tan (\frac{x}{5}))

sec^{2} (\frac{x}{5}) \frac{1}{5}

Schritte zur Lösung

\frac{d}{d x} (tan (\frac{x}{5}))

Wende die Kettenregel an:

sec^{2} (\frac{x}{5}) \frac{d}{d x} (\frac{x}{5})

= sec^{2} (\frac{x}{5}) \frac{d}{d x} (\frac{x}{5})

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

= sec^{2} (\frac{x}{5}) \frac{1}{5}

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