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Beliebt Rechnen >

(\partial)/(\partial y)(xsin(y-z))

Lösung

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

Lösung

x cos (y - z)

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

= cos (y - z) \frac{\partial}{\partial y} (y - z)

\frac{\partial}{\partial y} (y - z) = 1

= x cos (y - z) \cdot 1

Vereinfache

= x cos (y - z)

Beliebte Beispiele

limit as x approaches 2 of (f(x))^3

x \to 2 lim ((f (x))^{3})

integral of-(x^2)/2

\int - \frac{x ^{2}}{2} d x

derivative of 3sin(x-x)

\frac{d}{d x} (3 sin (x) - x)

(\partial)/(\partial x)(3x^2+3y^2)

\frac{\partial}{\partial x} (3 x^{2} + 3 y^{2})

integral of (-5)

\int (- 5) d x