Section 3.4 : Product and Quotient Rule
4. Use the Quotient Rule to find the derivative of \(\displaystyle g\left( x \right) = \frac{{6{x^2}}}{{2 - x}}\) .
Show SolutionThere isn’t much to do here other than take the derivative using the quotient rule.
\[g'\left( x \right) = \frac{{12x\left( {2 - x} \right) - 6{x^2}\left( { - 1} \right)}}{{{{\left( {2 - x} \right)}^2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{24x - 6{x^2}}}{{{{\left( {2 - x} \right)}^2}}}}}\]