derivative cot^2(sin(x))

Lösung

ableitung von

cot^{2} (sin (x))

- 2 csc^{2} (sin (x)) cot (sin (x)) cos (x)

Schritte zur Lösung

\frac{d}{d x} (cot^{2} (sin (x)))

Wende die Kettenregel an:

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

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

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

= 2 cot (sin (x)) (- csc^{2} (sin (x)) cos (x))

Vereinfache

= - 2 csc^{2} (sin (x)) cot (sin (x)) cos (x)

x \to 2 - lim (\frac{1}{x - 3})

\frac{d}{d x} (\frac{1 + csc ( x ^{3} )}{1 - cot ( x ^{3} )})

\int \frac{1}{y - 5} d y

\int sin^{3} (2 x) cos^{4} (2 x) d x

\frac{d}{d x} (x i)