derivative y=xsin(x)+2

Lösung

ableitung von

y = x sin (x) + 2

x cos (x) + sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (2) = 0

= sin (x) + x cos (x) + 0

Vereinfache

= x cos (x) + sin (x)