(\partial)/(\partial x)(6sin(xy))

Lösung

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

6 cos (x y) y

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{\partial}{\partial x} (sin (x y))

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

= 6 cos (x y) y

\frac{d}{d x} ((\frac{x + 3}{x - 3})^{4})

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

\int_{0}^{1} (x - x)^{2} d x

in v erse l a pl a ce \frac{s - 4}{s ^{2} - 8 s + 10}

d er i v a t i v e t^{\frac{4}{3}}