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Beliebt Rechnen >

derivative sin(x)+8/7 cot(x)

Lösung

ableitung von

sin (x) + \frac{8}{7} cot (x)

Lösung

cos (x) - \frac{8}{7} csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) + \frac{8}{7} cot (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{8}{7} cot (x))

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

\frac{d}{d x} (\frac{8}{7} cot (x)) = - \frac{8}{7} csc^{2} (x)

= cos (x) - \frac{8}{7} csc^{2} (x)

Graph

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