What is (\partial)/(\partial y)((9y)/(sqrt(x))) ?

The answer to (\partial)/(\partial y)((9y)/(sqrt(x))) is 9/(sqrt(x))

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(\partial)/(\partial y)((9y)/(sqrt(x)))

\frac{\partial}{\partial y} (\frac{9 y}{x})

\frac{9}{x}

Solution steps

\frac{\partial}{\partial y} (\frac{9 y}{x})

Treat

x

as a constant

Take the constant out:

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

= \frac{9}{x} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{9}{x} \cdot 1

Simplify

= \frac{9}{x}

What is (\partial)/(\partial y)((9y)/(sqrt(x))) ?
The answer to (\partial)/(\partial y)((9y)/(sqrt(x))) is 9/(sqrt(x))