derivative y=-csc(x)-sin(x)

Lösung

ableitung von

y = - csc (x) - sin (x)

cot^{2} (x) cos (x)

Schritte zur Lösung

\frac{d}{d x} (- csc (x) - sin (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (csc (x)) - \frac{d}{d x} (sin (x))

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

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

= - (- cot (x) csc (x)) - cos (x)

Vereinfache

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

= cot^{2} (x) cos (x)