What is (\partial}{\partial y}(\frac{y^2)/2) ?

The answer to (\partial}{\partial y}(\frac{y^2)/2) is y

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(\partial}{\partial y}(\frac{y^2)/2)

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

y

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2} \cdot 2 y^{2 - 1}

Simplify

\frac{1}{2} \cdot 2 y^{2 - 1} : y

= y

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What is (\partial}{\partial y}(\frac{y^2)/2) ?
The answer to (\partial}{\partial y}(\frac{y^2)/2) is y