What is the derivative of (a-x)^{-2} ?

The derivative of (a-x)^{-2} is 2/((a-x)^3)

What is the first derivative of (a-x)^{-2} ?

The first derivative of (a-x)^{-2} is 2/((a-x)^3)

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derivative of

(a - x)^{- 2}

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

Solution steps

\frac{d}{d x} ((a - x)^{- 2})

Apply the chain rule:

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

= - \frac{2}{( a - x ) ^{3}} \frac{d}{d x} (a - x)

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

= - \frac{2}{( a - x ) ^{3}} (- 1)

Simplify

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

What is the derivative of (a-x)^{-2} ?
The derivative of (a-x)^{-2} is 2/((a-x)^3)
What is the first derivative of (a-x)^{-2} ?
The first derivative of (a-x)^{-2} is 2/((a-x)^3)