What is the derivative of (2a)/y ?

The derivative of (2a)/y is -(2a)/(y^2)

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

The first derivative of (2a)/y is -(2a)/(y^2)

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derivative of

\frac{2 a}{y}

- \frac{2 a}{y ^{2}}

Solution steps

\frac{d}{d y} (\frac{2 a}{y})

Take the constant out:

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

= 2 a \frac{d}{d y} (\frac{1}{y})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 2 a \frac{d}{d y} (y^{- 1})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 a (- 1 \cdot y^{- 1 - 1})

Simplify

2 a (- 1 \cdot y^{- 1 - 1}) : - \frac{2 a}{y ^{2}}

= - \frac{2 a}{y ^{2}}

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