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Beliebt Rechnen >

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

Lösung

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

Lösung

- cos (x - y) - 1

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (x) = 0

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

= - cos (x - y) + 0 - 1

Vereinfache

= - cos (x - y) - 1

Beliebte Beispiele

derivative of sqrt(x)-3e^x

\frac{d}{d x} (x - 3 e^{x})

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

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

limit as x approaches 2 of (2x-4)/(x-2)

x \to 2 lim (\frac{2 x - 4}{x - 2})

(3x^2+y-4)-(2y-x)(dy)/(dx)=0

(3 x^{2} + y - 4) - (2 y - x) \frac{d y}{d x} = 0

integral of 3ln(x)

\int 3 ln (x) d x