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}}

\frac{d}{d x} (sin^{3} (3 x^{7} - 2 x + i))

\frac{2 x}{( x ^{2} + 1 )}

y = (x^{4} + 5 x^{2})^{7}

y - x^{2} + 1

6 x^{2} - 1

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)