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Question Number 148860 by mnjuly1970 last updated on 31/Jul/21

     f(x):= ∣ x^( 2) − (a+1)x +2a^( 2) −1∣      is differentiable on ( 1, 2 ).    find the value(s) of  ′  a  ′ .    ........

$$ \\ $$$$\:\:\:{f}\left({x}\right):=\:\mid\:{x}^{\:\mathrm{2}} −\:\left({a}+\mathrm{1}\right){x}\:+\mathrm{2}{a}^{\:\mathrm{2}} −\mathrm{1}\mid \\ $$$$\:\:\:\:{is}\:{differentiable}\:{on}\:\left(\:\mathrm{1},\:\mathrm{2}\:\right). \\ $$$$\:\:{find}\:{the}\:{value}\left({s}\right)\:{of}\:\:'\:\:{a}\:\:'\:. \\ $$$$\:\:........ \\ $$

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