What is (\partial}{\partial x}(\frac{8x)/y) ?

The answer to (\partial}{\partial x}(\frac{8x)/y) is 8/y

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(\partial}{\partial x}(\frac{8x)/y)

\frac{\partial}{\partial x} (\frac{8 x}{y})

\frac{8}{y}

Solution steps

\frac{\partial}{\partial x} (\frac{8 x}{y})

Treat

y

as a constant

Take the constant out:

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

= \frac{8}{y} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{8}{y} \cdot 1

Simplify

= \frac{8}{y}

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What is (\partial}{\partial x}(\frac{8x)/y) ?
The answer to (\partial}{\partial x}(\frac{8x)/y) is 8/y