Question: please show all steps for e and f F ( x ) = ( x - )ex F ( X ) b ) Determine

please show all steps for e and f

F ( x ) = ( x - " )ex F" ( X ) b ) Determine the second derivative F'( x ) = ex ( x - 3 ) ex ci ) + ex( x - 3 ) ex +ex - 3ex exx - 2ex ex (X - 2) C) Determine the critical point (s ) of FC ) ex ( x - 3 ) = 0 exx - 3 ex = 0 X = 3ex 7=3 D) Find the intervals on which F is increasing or decreasing decreasing Cheek 3 Cheek ( 4 - 4) 24 in creasing - 4(1) = 0(24) ( 3 1 00 ) - 4 F ( x ) = ( x- 4) ex e ) Find the intervals of concavity of the Function IF F) Determine the inflection points of f( x)

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