What is the derivative of x^{-5} ?

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

What is the first derivative of x^{-5} ?

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

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derivative of

x^{- 5}

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

Solution steps

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

Apply the Power Rule:

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

= - 5 x^{- 5 - 1}

Simplify

- 5 x^{- 5 - 1} : - \frac{5}{x ^{6}}

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

\int 4 sin (5 x) d x

\int \frac{1}{x ^{\frac{2}{3}} ( 8 + x ^{\frac{1}{3}} )} d x

y (θ) = ln (θ + 1) - e^{θ}

\frac{\partial}{\partial x} (ln (x + y) - 5 y)

\frac{d}{d x} ((x + 3)^{x})

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