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} (\frac{x}{4 - 16 - x ^{2}})

f (x) = 5 - 2 x^{2}, (- 5, - 45)

\int_{0}^{2} (1 + x)^{\frac{1}{3}} \cdot 2 d x

x y^{'} + (1 + x \cdot cot (x)) y = 0

\frac{d}{d x} ((x - 1)^{2} (x + 2))

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