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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\frac{d}{d x} (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}}

4 x - x^{2}, (1.3)

f (x) = 5 x^{4} - 6 x^{2} + 1

\frac{\partial}{\partial x} (2 x y - 3)

\frac{\partial}{\partial x} (\frac{4}{( x + 2 ) ^{2}})

\frac{4}{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)