What is (\partial}{\partial x}(\frac{2-x)/2) ?

The answer to (\partial}{\partial x}(\frac{2-x)/2) is -1/2

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(\partial}{\partial x}(\frac{2-x)/2)

\frac{\partial}{\partial x} (\frac{2 - x}{2})

- \frac{1}{2}

Solution steps

\frac{\partial}{\partial x} (\frac{2 - x}{2})

Take the constant out:

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

= \frac{1}{2} \frac{\partial}{\partial x} (2 - x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{2} (\frac{\partial}{\partial x} (2) - \frac{\partial}{\partial x} (x))

\frac{\partial}{\partial x} (2) = 0

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

= \frac{1}{2} (0 - 1)

Simplify

= - \frac{1}{2}

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What is (\partial}{\partial x}(\frac{2-x)/2) ?
The answer to (\partial}{\partial x}(\frac{2-x)/2) is -1/2