(\partial)/(\partial y)(cos(xy))

Lösung

\frac{\partial}{\partial y} (cos (x y))

- sin (x y) x

Schritte zur Lösung

\frac{\partial}{\partial y} (cos (x y))

Behandle

x

als Konstante

Wende die Kettenregel an:

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

= - sin (x y) \frac{\partial}{\partial y} (x y)

\frac{\partial}{\partial y} (x y) = x

= - sin (x y) x

\int_{0}^{3} 1 + x^{4} d x

x \to 5 lim (2 x^{2})

s im pl i f y \frac{1}{( z - 1 ) ^{3}} \cdot \frac{1}{e ^{z + 1}}

\frac{d y}{d x} = \frac{x ^{2} - 3 y ^{2}}{2 x y}

\frac{d}{d y} (y - \frac{y}{x ^{2}} e^{\frac{y}{x}})