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Beliebt Rechnen >

(\partial)/(\partial y)(-xysin(x)+2ycos(x))

Lösung

\frac{\partial}{\partial y} (- x y sin (x) + 2 y cos (x))

Lösung

- x sin (x) + 2 cos (x)

Schritte zur Lösung

\frac{\partial}{\partial y} (- x y sin (x) + 2 y cos (x))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{\partial}{\partial y} (x y sin (x)) + \frac{\partial}{\partial y} (2 y cos (x))

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

\frac{\partial}{\partial y} (2 y cos (x)) = 2 cos (x)

= - x sin (x) + 2 cos (x)

Beliebte Beispiele

(dy}{dx}=\frac{(1+y))/x

\frac{d y}{d x} = \frac{( 1 + y )}{x}

steigung (0.2)(1.5)

s l o p e (0.2) (1.5)

limit as x approaches 0 of 2/(3x^{1/3)}

x \to 0 lim (\frac{2}{3 x ^{\frac{1}{3}}})

steigung sqrt(x)

s l o p e x

integral of xln(x^2+1)+(x^2+1)y

\int x ln (x^{2} + 1) + (x^{2} + 1) y d x