What is (\partial}{\partial v}(\frac{u-v)/3) ?

The answer to (\partial}{\partial v}(\frac{u-v)/3) is -1/3

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(\partial}{\partial v}(\frac{u-v)/3)

\frac{\partial}{\partial v} (\frac{u - v}{3})

- \frac{1}{3}

Solution steps

\frac{\partial}{\partial v} (\frac{u - v}{3})

Treat

u

as a constant

Take the constant out:

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

= \frac{1}{3} \frac{\partial}{\partial v} (u - v)

Apply the Sum/Difference Rule:

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

= \frac{1}{3} (\frac{\partial}{\partial v} (u) - \frac{\partial}{\partial v} (v))

\frac{\partial}{\partial v} (u) = 0

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

= \frac{1}{3} (0 - 1)

Simplify

= - \frac{1}{3}

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What is (\partial}{\partial v}(\frac{u-v)/3) ?
The answer to (\partial}{\partial v}(\frac{u-v)/3) is -1/3