What is (\partial)/(\partial y)(xy) ?

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

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(\partial)/(\partial y)(xy)

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

x

Solution steps

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

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

= x \cdot 1

Simplify

= x

\int 3 (x^{3} - x) d x

\int \frac{2}{3} (x + 1)^{\frac{3}{2}} d x

\int_{1}^{10} 4 d x

y = x - 3

\frac{d}{d x} (arctan (\frac{x - 1}{x + 1}))

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