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

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

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

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

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derivative of

x^{- 6}

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

Solution steps

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

Apply the Power Rule:

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

= - 6 x^{- 6 - 1}

Simplify

- 6 x^{- 6 - 1} : - \frac{6}{x ^{7}}

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

n = 1 \sum \infty (- 1)^{n + 1} (\frac{1}{n} + \frac{1}{3 ^{n}})

\frac{\partial}{\partial x} (\frac{1}{1 - x})

x d x - y^{2} d y = 0

y^{^{''}} + (- 2 a) y^{^{'}} + (a^{2}) y = 0

x \to 5 - lim (\frac{3}{5 - x})

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