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Beliebt Rechnen >

(\partial)/(\partial y)(sin(x^2y))

Lösung

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

Lösung

cos (x^{2} y) x^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (x^{2} y) x^{2}

Beliebte Beispiele

derivative of (x^3+6x^4)

\frac{d}{d x} ((x^{3} + 6 x)^{4})

inverselaplace (2e^{-2s})/(3s^2+12)

in v erse l a pl a ce \frac{2 e ^{- 2 s}}{3 s ^{2} + 12}

3y^'+y=6t,y(0)=3

3 y^{^{'}} + y = 6 t, y (0) = 3

derivative of sqrt(6x+5)

\frac{d}{d x} (6 x + 5)

\frac{d y}{d x} = 4 x^{3}