(\partial)/(\partial x)(sin(2x)+cos(3y))

Lösung

\frac{\partial}{\partial x} (sin (2 x) + cos (3 y))

2 cos (2 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (2 x) + cos (3 y))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (sin (2 x)) + \frac{\partial}{\partial x} (cos (3 y))

\frac{\partial}{\partial x} (sin (2 x)) = cos (2 x) \cdot 2

\frac{\partial}{\partial x} (cos (3 y)) = 0

= cos (2 x) \cdot 2 + 0

Vereinfache

= 2 cos (2 x)