What is (\partial)/(\partial x)(sin(x*y)) ?

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

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

\frac{\partial}{\partial x} (sin (x \cdot 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

x \to 2 lim (2 x^{2} - 5 x - 3)

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

\frac{d}{d x} ((3 x^{2} + 8)^{5})

\frac{1}{s} - \frac{s + 1}{s ^{2} + s + 10}

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

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