Calc2.53

From Exampleproblems

Find the derivative of $f(x)\,$ with respect to $x\,$ : $f(x)=\frac{x+7}{(x-6)(x+2)}\,$

This will be a quotient rule. When computing the derivative of the bottom, a product rule will need to be used.

$f'(x)=\frac{(x-6)(x+2)-(x+7)(x-6+x+2)}{(x-6)^2(x+2)^2}=\frac{-(x^2+14x-16)}{(x-6)^2(x+2)^2}\,$