What is (\partial)/(\partial r)(r-s) ?

The answer to (\partial)/(\partial r)(r-s) is 1

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(\partial)/(\partial r)(r-s)

\frac{\partial}{\partial r} (r - s)

1

Solution steps

\frac{\partial}{\partial r} (r - s)

Treat

s

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial r} (r) - \frac{\partial}{\partial r} (s)

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

\frac{\partial}{\partial r} (s) = 0

= 1 - 0

Simplify

= 1

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What is (\partial)/(\partial r)(r-s) ?
The answer to (\partial)/(\partial r)(r-s) is 1