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

The answer to (\partial}{\partial x}(\frac{-x)/y) is -1/y

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

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

- \frac{1}{y}

Solution steps

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

Simplify

\frac{- x}{y} : - \frac{x}{y}

= \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}

n = 1 \sum \infty (2 n + 1)!

\int \frac{8}{x ^{3}} d x

\int_{0}^{\infty} e^{- s x} d x

(2.4) (16.14)

\frac{\partial}{\partial x} (\frac{2 x - y}{2 x + y})

What is (\partial}{\partial x}(\frac{-x)/y) ?
The answer to (\partial}{\partial x}(\frac{-x)/y) is -1/y