derivative of 1/(sin(2x))

Lösung

\frac{d}{d x} (\frac{1}{sin ( 2 x )})

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{sin ( 2 x )})

Vereinfache

\frac{1}{sin ( 2 x )} : csc (2 x)

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

Wende die Kettenregel an:

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

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

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

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

in v erse l a pl a ce \frac{e ^{- s} - e ^{- 2 s}}{s ( s + 2 ) ( s + 1 )}

\int_{1}^{2} x 8^{x^{2}} d x

y^{^{'}} = \frac{y ( x - y )}{x ^{2}}

\frac{d y}{d x} = 2 + 3 y

x \to 0 lim (ln (x^{2}) (- 2))