(\partial)/(\partial y)(-sin(xy)x)

Lösung

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

- x^{2} cos (x y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= - x cos (x y) x

Vereinfache

- x cos (x y) x : - x^{2} cos (x y)

= - x^{2} cos (x y)

5 y^{^{''}} - 6 y^{^{'}} + 5 y = 0

d er i v a t i v e f (x) = \frac{16}{x}

x \to π lim (cot (x))

a re a y = ∣ x ∣ + ∣ x - 1 ∣, x = - 1, x = 2

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