What is the first derivative of-x/y ?

The first derivative of-x/y is -1/y

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derivative of-x/y

derivative of

- \frac{x}{y}

- \frac{1}{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= - \frac{1}{y} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

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

Simplify

= - \frac{1}{y}

\int e^{- 2 y} d y

x \to a lim ((x + 2 x^{3})^{4})

\frac{d}{d x} (900 x - \frac{1}{3} x^{3} + 2500)

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

5 y^{^{''}} + 5 y^{^{'}} - 10 y = 0