What is (\partial}{\partial y}(\frac{3y)/x) ?

The answer to (\partial}{\partial y}(\frac{3y)/x) is 3/x

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(\partial}{\partial y}(\frac{3y)/x)

\frac{\partial}{\partial y} (\frac{3 y}{x})

\frac{3}{x}

Solution steps

\frac{\partial}{\partial y} (\frac{3 y}{x})

Treat

x

as a constant

Take the constant out:

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

= \frac{3}{x} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{3}{x} \cdot 1

Simplify

= \frac{3}{x}

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x \to 0 lim (\frac{e ^{4 x} - 1}{2 x ^{2} + 2 x})

What is (\partial}{\partial y}(\frac{3y)/x) ?
The answer to (\partial}{\partial y}(\frac{3y)/x) is 3/x