What is (\partial)/(\partial x)(sin(xy)) ?

The answer to (\partial)/(\partial x)(sin(xy)) is cos(xy)y

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(\partial)/(\partial x)(sin(xy))

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

cos (x y) y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= cos (x y) y

\int_{0}^{4} x e^{- x} d x

y = x^{3}, y = 8, x = - 1

x \to 0 lim (2^{x})

2 x^{3} ln (10 x)

y^{^{'''}} + y^{^{''}} + 24 y^{^{'}} - 26 y = 0

What is (\partial)/(\partial x)(sin(xy)) ?
The answer to (\partial)/(\partial x)(sin(xy)) is cos(xy)y