What is the derivative of (-2y)/x ?

The derivative of (-2y)/x is -2/x

What is the first derivative of (-2y)/x ?

The first derivative of (-2y)/x is -2/x

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derivative of

\frac{- 2 y}{x}

- \frac{2}{x}

Solution steps

\frac{d}{d y} (\frac{- 2 y}{x})

Simplify

\frac{- 2 y}{x} : - \frac{2 y}{x}

= \frac{d}{d y} (- \frac{2 y}{x})

Treat

x

as a constant

Take the constant out:

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

= - \frac{2}{x} \frac{d y}{d y}

Apply the common derivative:

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

= - \frac{2}{x} \cdot 1

Simplify

= - \frac{2}{x}

\frac{( x ^{3} - x )}{( x ^{2} )}

\frac{- 2}{x ^{3}}

\frac{d}{d x} (\frac{sin ^{22} ( x )}{cos ^{2} ( x )})

\frac{( - 48 x )}{( x ^{2} - 16 ) ^{2}}

sin (cos (x^{2}))

What is the derivative of (-2y)/x ?
The derivative of (-2y)/x is -2/x
What is the first derivative of (-2y)/x ?
The first derivative of (-2y)/x is -2/x