Question Number 148860 by mnjuly1970 last updated on 31/Jul/21
$$ \\ $$$$\:\:\:{f}\left({x}\right):=\:\mid\:{x}^{\:\mathrm{2}} −\:\left({a}+\mathrm{1}\right){x}\:+\mathrm{2}{a}^{\:\mathrm{2}} −\mathrm{1}\mid \\ $$$$\:\:\:\:{is}\:{differentiable}\:{on}\:\left(\:\mathrm{1},\:\mathrm{2}\:\right). \\ $$$$\:\:{find}\:{the}\:{value}\left({s}\right)\:{of}\:\:'\:\:{a}\:\:'\:. \\ $$$$\:\:…….. \\ $$