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Beliebt Rechnen >

d/(dθ)(tan(θ/2))

Lösung

\frac{d}{d θ} (tan (\frac{θ}{2}))

Lösung

sec^{2} (\frac{θ}{2}) \frac{1}{2}

Schritte zur Lösung

\frac{d}{d θ} (tan (\frac{θ}{2}))

Wende die Kettenregel an:

sec^{2} (\frac{θ}{2}) \frac{d}{d θ} (\frac{θ}{2})

= sec^{2} (\frac{θ}{2}) \frac{d}{d θ} (\frac{θ}{2})

\frac{d}{d θ} (\frac{θ}{2}) = \frac{1}{2}

= sec^{2} (\frac{θ}{2}) \frac{1}{2}

Graph

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