derivative sin(x)+7/2 cot(x)

Lösung

ableitung von

sin (x) + \frac{7}{2} cot (x)

cos (x) - \frac{7}{2} csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) + \frac{7}{2} cot (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{7}{2} cot (x))

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

\frac{d}{d x} (\frac{7}{2} cot (x)) = - \frac{7}{2} csc^{2} (x)

= cos (x) - \frac{7}{2} csc^{2} (x)