Question - Find the Derivative of a Function

\( \frac{d}{dx} \left( x^8 - \frac{1}{x} \right) \)

= \( \frac{d}{dx} \left( x^8 \right) - \frac{d}{dx} \left( \frac{1}{x} \right) \)

= \( 8x^{8-1} - \left( -x^{-2} \right) \)

= \( 8x^7 + x^{-2} \)

= \( 8x^7 + \frac{1}{x^2} \)