(\partial)/(\partial x)(10sin(xy))

Lösung

\frac{\partial}{\partial x} (10 sin (x y))

10 cos (x y) y

Schritte zur Lösung

\frac{\partial}{\partial x} (10 sin (x y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= 10 \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

= 10 cos (x y) y

\int (12 x + 7) d x

x \to 4 lim (\frac{1}{x - 3})

d er i v a t i v e - \frac{170 t}{( t + 4 ) ^{2}}

x \to 1 + lim (\frac{3}{1 - x})

\frac{d y}{d x} = 3 x + x y