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Beliebt Rechnen >

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

Lösung

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

Lösung

- cos (x - y)

Schritte zur Lösung

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

Behandle

x

als Konstante

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) = - 1

= cos (x - y) (- 1)

Vereinfache

= - cos (x - y)

Beliebte Beispiele

derivative y=-3-2e^x

d er i v a t i v e y = - 3 - 2 e^{x}

derivative y= 4/(x-2)

d er i v a t i v e y = \frac{4}{x - 2}

integral of e^{sin(t)}cos(t)

\int e^{s i n (t)} cos (t) d t

integral of ((sqrt(x)+4)^4)/(2sqrt(x))

\int \frac{( x + 4 ) ^{4}}{2 x} d x

derivative of (3x^2-13^3)

\frac{d}{d x} ((3 x^{2} - 13)^{3})