What is the derivative of x^{-7} ?

The derivative of x^{-7} is -7/(x^8)

What is the first derivative of x^{-7} ?

The first derivative of x^{-7} is -7/(x^8)

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derivative of

x^{- 7}

- \frac{7}{x ^{8}}

Solution steps

\frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= - 7 x^{- 7 - 1}

Simplify

- 7 x^{- 7 - 1} : - \frac{7}{x ^{8}}

= - \frac{7}{x ^{8}}

\int_{1}^{\infty} 3 x e^{- x} d x

\int tanh^{2} (3 x) d x

n = 0 \sum \infty n \cdot a^{n}

\frac{d}{d z} (e^{x z})

e^{- x + 1} x - 2 e^{- x + 1}

What is the derivative of x^{-7} ?
The derivative of x^{-7} is -7/(x^8)
What is the first derivative of x^{-7} ?
The first derivative of x^{-7} is -7/(x^8)