Question Number 168579 by alf123 last updated on 13/Apr/22
Commented by MJS_new last updated on 14/Apr/22
$${y}=\frac{−{x}^{\mathrm{3}} +\mathrm{15}{x}^{\mathrm{2}} −\mathrm{49}{x}−\mathrm{54}}{{x}+\mathrm{1}} \\ $$$$−\infty<{y}<+\infty \\ $$$$\Rightarrow\:\mathrm{no}\:\mathrm{absolute}\:\mathrm{min}/\mathrm{max}\:\mathrm{exist} \\ $$$$\mathrm{for}\:\mathrm{local}\:\mathrm{min}/\mathrm{max}\:\mathrm{solve}\:{y}'=\mathrm{0} \\ $$