Question Number 188667 by sciencestudentW last updated on 04/Mar/23
$${find}\:{the}\:{increasing}\:{interval}\:{of}\: \\ $$$${f}\left({x}\right)=\mathrm{22}{x}^{\mathrm{55}} +\mathrm{222}\:\:. \\ $$
Commented by sciencestudentW last updated on 05/Mar/23
$${please}\:{help}\:{me}! \\ $$
Commented by sciencestudentW last updated on 06/Mar/23
$${I}\:{think}\:{it}\:{is}\:{not}\:{polynomial}\:{because} \\ $$$${polynomial}\:{is}\:{an}\:{algebric}\:{expresion}.\:{what} \\ $$$${do}\:{you}\:{think}? \\ $$
Commented by mr W last updated on 06/Mar/23
$${certainly}\:{it}'{s}\:{polynomial}! \\ $$
Answered by mr W last updated on 05/Mar/23
$${f}'\left({x}\right)=\mathrm{22}×\mathrm{55}{x}^{\mathrm{54}} \geqslant\mathrm{0} \\ $$$${that}\:{means}\:{f}\left({x}\right)\:{is}\:{always}\:{increasing}. \\ $$$${the}\:{increasing}\:{interval}\:{is}\:\left(−\infty,+\infty\right).\: \\ $$
Commented by sciencestudentW last updated on 05/Mar/23
$${thanks} \\ $$