What is (\partial)/(\partial s)(s/t) ?

The answer to (\partial)/(\partial s)(s/t) is 1/t

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(\partial)/(\partial s)(s/t)

\frac{\partial}{\partial s} (\frac{s}{t})

\frac{1}{t}

Solution steps

\frac{\partial}{\partial s} (\frac{s}{t})

Treat

t

as a constant

Take the constant out:

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

= \frac{1}{t} \frac{\partial}{\partial s} (s)

Apply the common derivative:

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

= \frac{1}{t} \cdot 1

Simplify

= \frac{1}{t}

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