What is (\partial)/(\partial y)(1/2 y) ?

The answer to (\partial)/(\partial y)(1/2 y) is 1/2

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(\partial)/(\partial y)(1/2 y)

\frac{\partial}{\partial y} (\frac{1}{2} y)

\frac{1}{2}

Solution steps

\frac{\partial}{\partial y} (\frac{1}{2} y)

Take the constant out:

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

= \frac{1}{2} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{1}{2} \cdot 1

Simplify

= \frac{1}{2}

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What is (\partial)/(\partial y)(1/2 y) ?
The answer to (\partial)/(\partial y)(1/2 y) is 1/2