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

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

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

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

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

6 x

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 3 \cdot 2 x^{2 - 1}

Simplify

= 6 x

\frac{\partial}{\partial x} (1 + x^{2} y - x y)

\frac{d}{d t} (2 t + 2)

\frac{d}{d x} (3 (x + 1)^{2})

\frac{4 s}{s ^{2} - 16}

\frac{d}{d x} (sin (x + \frac{π}{2}) - cos (x))

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