What is (\partial)/(\partial x)((x^2)/(2y)) ?

The answer to (\partial)/(\partial x)((x^2)/(2y)) is x/y

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(\partial)/(\partial x)((x^2)/(2y))

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

\frac{x}{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= \frac{1}{2 y} \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2 y} \cdot 2 x^{2 - 1}

Simplify

\frac{1}{2 y} \cdot 2 x^{2 - 1} : \frac{x}{y}

= \frac{x}{y}

\frac{d}{d x} (- \frac{1}{4 sin ( x )})

\frac{1}{- 0.75 y - 0.00003} y^{^{'}} = 1

\int x^{3} x^{2} + 5 d x

\int \frac{9 - 162 x}{49 - 81 x ^{2}} d x

What is (\partial)/(\partial x)((x^2)/(2y)) ?
The answer to (\partial)/(\partial x)((x^2)/(2y)) is x/y