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}})

Simplify

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

= \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{sin ^{22} ( x )}{cos ^{2} ( x )})

\frac{( - 48 x )}{( x ^{2} - 16 ) ^{2}}

sin (cos (x^{2}))

3 \cdot e^{- 0.25 \cdot x^{2}}

f (x) = (x + 2)^{2} - 3 x

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)