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Beliebt Rechnen >

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

Lösung

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

Lösung

- sin (x^{2} + y^{2}) \cdot 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= - sin (x^{2} + y^{2}) \cdot 2 y

Beliebte Beispiele

integral of (3x+5)cos(x/4)

\int (3 x + 5) cos (\frac{x}{4}) d x

derivative 3(e^xcos(x)-e^xsin(x))

d er i v a t i v e 3 (e^{x} cos (x) - e^{x} sin (x))

derivative 5e^{-6x}

d er i v a t i v e 5 e^{- 6 x}

d/(dt)((3t^2-3)/(2t))

\frac{d}{d t} (\frac{3 t ^{2} - 3}{2 t})

derivative of x^2+2x+6

\frac{d}{d x} (x^{2} + 2 x + 6)