derivative sin(x)-cos(x)

Lösung

ableitung von

sin (x) - cos (x)

cos (x) + sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (x) - (- sin (x))

Vereinfache

= cos (x) + sin (x)