derivative of (sin(2x+1)/(cos(-1-2x)))

Lösung

\frac{d}{d x} (\frac{sin ( 2 x + 1 )}{cos ( - 1 - 2 x )})

sec^{2} (1 + 2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (\frac{sin ( 2 x + 1 )}{cos ( - 1 - 2 x )})

Vereinfache

\frac{sin ( 2 x + 1 )}{cos ( - 1 - 2 x )} : tan (1 + 2 x)

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

Wende die Kettenregel an:

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

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

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

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