What is (\partial)/(\partial y)(5xy) ?

The answer to (\partial)/(\partial y)(5xy) is 5x

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(\partial)/(\partial y)(5xy)

\frac{\partial}{\partial y} (5 x y)

5 x

Solution steps

\frac{\partial}{\partial y} (5 x y)

Treat

x

as a constant

Take the constant out:

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

= 5 x \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= 5 x \cdot 1

Simplify

= 5 x

What is (\partial)/(\partial y)(5xy) ?
The answer to (\partial)/(\partial y)(5xy) is 5x