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Beliebt Rechnen >

(\partial)/(\partial y)(2xsin(xy))

Lösung

\frac{\partial}{\partial y} (2 x sin (x y))

Lösung

2 x^{2} cos (x y)

Schritte zur Lösung

\frac{\partial}{\partial y} (2 x sin (x y))

Behandle

x

als Konstante

Entferne die Konstante:

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

= 2 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

= 2 x cos (x y) x

Vereinfache

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

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

Beliebte Beispiele

integral of 2x(3x-2)^6

\int 2 x (3 x - 2)^{6} d x

steigung (5,9),(4,5)

s l o p e (5, 9), (4, 5)

taylor x^{1/3},x=8

t a y l or x^{\frac{1}{3}}, x = 8

limit as x approaches 0 of (-x^3)/(x^2)

x \to 0 lim (\frac{- x ^{3}}{x ^{2}})

tangent f(x)=ax^2,\at x=-2

t an g e n t f (x) = a x^{2}, at x = - 2