(\partial)/(\partial x)(sin(x*y))

Lösung

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

cos (x y) y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (x y) y

x \to 2 lim (2 x^{2} - 5 x - 3)

in v erse l a pl a ce \frac{1}{s} - \frac{s + 1}{s ^{2} + s + 10}

\int e^{4 - 3 x} d x

in v erse l a pl a ce \frac{s + 3}{( s + 1 ) ( s + 2 )}

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