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}

\int_{- 1}^{1} (2 x - 1)^{2} d x

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\frac{d y}{d x} = - 5 - 5 x + y

2 y d x + x^{2} d y = - d x

\int x^{2} 3^{5 x^{3} + 1} d x

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