derivative f(x)=sin(x)+1/2 cot(x)

Lösung

ableitung von

f (x) = sin (x) + \frac{1}{2} cot (x)

cos (x) - \frac{1}{2} csc^{2} (x)

Schritte zur Lösung

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

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

\frac{d}{d x} (\frac{1}{2} cot (x)) = - \frac{1}{2} csc^{2} (x)

= cos (x) - \frac{1}{2} csc^{2} (x)

\int_{- 2}^{0} (2 + 4 - x^{2}) d x

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