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

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

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

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

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\frac{d}{d x} (\frac{3}{6 x ^{- 2}})

x

Solution steps

\frac{d}{d x} (\frac{3}{6 x ^{- 2}})

Take the constant out:

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

= \frac{3}{6} \frac{d}{d x} (\frac{1}{x ^{- 2}})

Apply exponent rule:

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

= \frac{3}{6} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{3}{6} \cdot 2 x^{2 - 1}

Simplify

\frac{3}{6} \cdot 2 x^{2 - 1} : x

= x

f (x) = \frac{x ^{3}}{24} + \frac{2}{x}

\int_{1}^{2} \frac{1}{4 - t ^{2}} d t

- 3 x^{2} + 2 x y + 2 y^{3} = 125, (3, 4)

\frac{d}{d x} y = ln (10 x^{2} - 8)

x^{3} - 3 x^{2} + 2 x - 2

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