What is the derivative of (-5)/(6x^6) ?

The derivative of (-5)/(6x^6) is 5/(x^7)

What is the first derivative of (-5)/(6x^6) ?

The first derivative of (-5)/(6x^6) is 5/(x^7)

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derivative of

\frac{- 5}{6 x ^{6}}

\frac{5}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{- 5}{6 x ^{6}})

Simplify

\frac{- 5}{6 x ^{6}} : - \frac{5}{6 x ^{6}}

= \frac{d}{d x} (- \frac{5}{6 x ^{6}})

Take the constant out:

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

= - \frac{5}{6} \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - \frac{5}{6} \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - \frac{5}{6} (- 6 x^{- 6 - 1})

Simplify

- \frac{5}{6} (- 6 x^{- 6 - 1}) : \frac{5}{x ^{7}}

= \frac{5}{x ^{7}}

\frac{d}{d x} (\frac{0.3 ( 9 ^{x} )}{x ^{3}})

f (x) = 5 - 2 x^{3}

f (x) = \frac{2}{1 + x ^{2}}

\int \frac{1}{p ^{2}} d p

\int e^{r x} d x

What is the derivative of (-5)/(6x^6) ?
The derivative of (-5)/(6x^6) is 5/(x^7)
What is the first derivative of (-5)/(6x^6) ?
The first derivative of (-5)/(6x^6) is 5/(x^7)