What is (\partial)/(\partial y)(y/(x+6x)) ?

The answer to (\partial)/(\partial y)(y/(x+6x)) is 1/(7x)

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(\partial)/(\partial y)(y/(x+6x))

\frac{\partial}{\partial y} (\frac{y}{x + 6 x})

\frac{1}{7 x}

Solution steps

\frac{\partial}{\partial y} (\frac{y}{x + 6 x})

Treat

x

as a constant

Take the constant out:

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

= \frac{1}{x + 6 x} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{1}{x + 6 x} \cdot 1

Simplify

= \frac{1}{7 x}

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What is (\partial)/(\partial y)(y/(x+6x)) ?
The answer to (\partial)/(\partial y)(y/(x+6x)) is 1/(7x)