What is the derivative of-6x^{-2} ?

The derivative of-6x^{-2} is (12)/(x^3)

What is the first derivative of-6x^{-2} ?

The first derivative of-6x^{-2} is (12)/(x^3)

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derivative of

- 6 x^{- 2}

\frac{12}{x ^{3}}

Solution steps

\frac{d}{d x} (- 6 x^{- 2})

Take the constant out:

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

= - 6 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= - 6 (- 2 x^{- 2 - 1})

Simplify

- 6 (- 2 x^{- 2 - 1}) : \frac{12}{x ^{3}}

= \frac{12}{x ^{3}}

What is the derivative of-6x^{-2} ?
The derivative of-6x^{-2} is (12)/(x^3)
What is the first derivative of-6x^{-2} ?
The first derivative of-6x^{-2} is (12)/(x^3)