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(d)/(dx)(x^(-8))=

$\frac{d}{d x}\left(x^{-8}\right)=$

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Simplify variable expressions using properties

Full solution

Q.

\frac{d}{d x}\left(x^{-8}\right)=

Apply Power Rule: We will use the power rule for differentiation, which states that the derivative of $x^n$ with respect to $x$ is $n\cdot x^{n-1}$ . Here, $n$ is $-8$ . $\newline$ Calculation: $(\frac{d}{dx})(x^{-8}) = -8 \cdot x^{-8 - 1} = -8 \cdot x^{-9}$

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