derivative of (cos(2x)/(sin(2x)))

Lösung

\frac{d}{d x} (\frac{cos ( 2 x )}{sin ( 2 x )})

- csc^{2} (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (\frac{cos ( 2 x )}{sin ( 2 x )})

Vereinfache

\frac{cos ( 2 x )}{sin ( 2 x )} : cot (2 x)

= \frac{d}{d x} (cot (2 x))

Wende die Kettenregel an:

- csc^{2} (2 x) \frac{d}{d x} (2 x)

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

\frac{d}{d x} (2 x) = 2

= - csc^{2} (2 x) \cdot 2

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