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

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

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(\partial)/(\partial x)(x/y)

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

\frac{1}{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{1}{y} \cdot 1

Simplify

= \frac{1}{y}

\frac{d}{d x} (x^{2} 2 x)

y = ln (x^{100})

\int \frac{x ^{\frac{1}{4}}}{1 + x ^{\frac{1}{2}}} d x

y^{^{''}} + 4 y^{^{'}} + 5 y = 10 x + e^{- x}

\frac{\partial}{\partial x} (e^{y - x})

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