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Question Number 174404 by Best1 last updated on 31/Jul/22

Answered by alephzero last updated on 31/Jul/22

F ′(2) = (f ○ g)′(2) = f′(g(2))g′(2) =  = f′(8)×4 = 6×4 = 24

$${F}\:'\left(\mathrm{2}\right)\:=\:\left({f}\:\circ\:{g}\right)'\left(\mathrm{2}\right)\:=\:{f}'\left({g}\left(\mathrm{2}\right)\right){g}'\left(\mathrm{2}\right)\:= \\ $$$$=\:{f}'\left(\mathrm{8}\right)×\mathrm{4}\:=\:\mathrm{6}×\mathrm{4}\:=\:\mathrm{24} \\ $$

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