What is the derivative of-(6x)/y ?

The derivative of-(6x)/y is -6/y

What is the first derivative of-(6x)/y ?

The first derivative of-(6x)/y is -6/y

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derivative of

- \frac{6 x}{y}

- \frac{6}{y}

Solution steps

\frac{d}{d x} (- \frac{6 x}{y})

Treat

y

as a constant

Take the constant out:

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

= - \frac{6}{y} \frac{d x}{d x}

Apply the common derivative:

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

= - \frac{6}{y} \cdot 1

Simplify

= - \frac{6}{y}