What is the derivative of-(3x)/y ?

The derivative of-(3x)/y is -3/y

What is the first derivative of-(3x)/y ?

The first derivative of-(3x)/y is -3/y

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derivative of

- \frac{3 x}{y}

- \frac{3}{y}

Solution steps

\frac{d}{d x} (- \frac{3 x}{y})

Treat

y

as a constant

Take the constant out:

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

= - \frac{3}{y} \frac{d x}{d x}

Apply the common derivative:

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

= - \frac{3}{y} \cdot 1

Simplify

= - \frac{3}{y}

f (x) = x^{2} + x - 1

\frac{d y}{d x} = e^{6 y + 6 x}

\frac{s + 5}{s ( s ^{2} + 8 s + 25 )}

\frac{1}{3 x ^{\frac{2}{3}}} + 2

\int 3 x (x^{2} + 6)^{2} d x