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

The derivative of-2/(x^3) is 6/(x^4)

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

The first derivative of-2/(x^3) is 6/(x^4)

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derivative of

- \frac{2}{x ^{3}}

\frac{6}{x ^{4}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 2 (- 3 x^{- 3 - 1})

Simplify

- 2 (- 3 x^{- 3 - 1}) : \frac{6}{x ^{4}}

= \frac{6}{x ^{4}}

\frac{d}{d x} (\frac{x}{x - 9})

\int \frac{( 8 x - 3 )}{12 x - 4 x ^{2} - 5} d x

y = - 2 - 7 x^{2}

\frac{d}{d x} (\frac{( x - 6 )}{x + 6})

(\frac{1 + sin ( t )}{1 - cos ( t )})^{2}

What is the derivative of-2/(x^3) ?
The derivative of-2/(x^3) is 6/(x^4)
What is the first derivative of-2/(x^3) ?
The first derivative of-2/(x^3) is 6/(x^4)