Question Number 192261 by mnjuly1970 last updated on 13/May/23
$$ \\ $$$$\:\:\:{f}\left({x}\right)=\lfloor\:\frac{\:\mathrm{1}}{\mathrm{1}+\sqrt{{x}}}\:\rfloor\:{is}\:{derivable}\: \\ $$$$\:\:{on}\:\:\left(\:\mathrm{0}\:,\:\:{k}\:\right).\:{find}\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{k}_{\:{max}} =?\: \\ $$$$\:\:\: \\ $$