(\partial)/(\partial y)(sin(3x-6y))

Lösung

\frac{\partial}{\partial y} (sin (3 x - 6 y))

- 6 cos (3 x - 6 y)

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (3 x - 6 y))

Behandle

x

als Konstante

Wende die Kettenregel an:

cos (3 x - 6 y) \frac{\partial}{\partial y} (3 x - 6 y)

= cos (3 x - 6 y) \frac{\partial}{\partial y} (3 x - 6 y)

\frac{\partial}{\partial y} (3 x - 6 y) = - 6

= cos (3 x - 6 y) (- 6)

Vereinfache

= - 6 cos (3 x - 6 y)