What is the derivative of cx^{-6} ?

The derivative of cx^{-6} is -(6c)/(x^7)

What is the first derivative of cx^{-6} ?

The first derivative of cx^{-6} is -(6c)/(x^7)

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

- \frac{6 c}{x ^{7}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= c (- 6 x^{- 6 - 1})

Simplify

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

= - \frac{6 c}{x ^{7}}

\int (x + 1) (2 x - 1) d x

\frac{1}{x + 6}

\int \frac{1}{x ( ln ( x ) ) ^{15}} d x

\frac{d}{d x} ((2 x^{3} - 7)^{8})

\frac{d}{d x} (ln (\frac{x}{2}) (x - 2))

What is the derivative of cx^{-6} ?
The derivative of cx^{-6} is -(6c)/(x^7)
What is the first derivative of cx^{-6} ?
The first derivative of cx^{-6} is -(6c)/(x^7)