What is (\partial)/(\partial y)((5y)/(sqrt(x))) ?

The answer to (\partial)/(\partial y)((5y)/(sqrt(x))) is 5/(sqrt(x))

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(\partial)/(\partial y)((5y)/(sqrt(x)))

\frac{\partial}{\partial y} (\frac{5 y}{x})

\frac{5}{x}

Solution steps

\frac{\partial}{\partial y} (\frac{5 y}{x})

Treat

x

as a constant

Take the constant out:

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

= \frac{5}{x} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{5}{x} \cdot 1

Simplify

= \frac{5}{x}

\frac{d}{d x} (\frac{4 x + 4}{3 x ^{\frac{2}{3}}})

\frac{\partial}{\partial y} (2 x + y^{3})

\frac{d}{d x} ((4 x^{3} + 1)^{3})

5 - x^{2}, sin (x), - 2.384677, 2.0252116

What is (\partial)/(\partial y)((5y)/(sqrt(x))) ?
The answer to (\partial)/(\partial y)((5y)/(sqrt(x))) is 5/(sqrt(x))