derivative of csc^2(1-2x)

Lösung

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

4 csc^{2} (1 - 2 x) cot (1 - 2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

2 csc (1 - 2 x) \frac{d}{d x} (csc (1 - 2 x))

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

\frac{d}{d x} (csc (1 - 2 x)) = 2 cot (1 - 2 x) csc (1 - 2 x)

= 2 csc (1 - 2 x) \cdot 2 cot (1 - 2 x) csc (1 - 2 x)

Vereinfache

2 csc (1 - 2 x) \cdot 2 cot (1 - 2 x) csc (1 - 2 x) : 4 csc^{2} (1 - 2 x) cot (1 - 2 x)

= 4 csc^{2} (1 - 2 x) cot (1 - 2 x)