Barrons AP Calculus

(D) G′(x)   =   f(3x    −   1)  ·   3.

(B) Since   f   changes from    positive    to  negative    at  t   =   3,  G′  does    also    where

3 x −   1   =   3.

(C) The limit       by  substitution    is  of  the form    

,   so  apply   L’Hôpital’s Rule.   You get  ,  which   is  still   of  the

form     ,   therefore   apply   L’Hôpital’s     Rule    again.  The     new

limit   is      by  substitution    is  .

(D) 2(3)    +   2(0)    +   2(4)    +   2(1).

(D)