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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) \cdot 1

Vereinfache

= cos (x + y)

Beliebte Beispiele

derivative y=x^2+10x+21

d er i v a t i v e y = x^{2} + 10 x + 21

integral of 9/(sqrt(81-9x^2))

\int \frac{9}{81 - 9 x ^{2}} d x

derivative of 6ycos(x)

\frac{d}{d x} (6 y cos (x))

limit as x approaches 81 of log_{243}(x)

x \to 81 lim (lo g_{243} (x))

limit as x approaches infinity of x^4-1

x \to \infty lim (x^{4} - 1)