Barrons AP Calculus

(Marvins-Underground-K-12) #1




































(B) Sketch  the graph   of  f   (x) =   1   −   |x|;    note    that    f   (–1)    =   f   (1) =   0   and that    f
is continuous on [−1,1]. Only (B) holds.

(C) Since   f ′(x)  =   6x^2    −   3,  therefore    ;  also,   f(x),   or  2x^3    −   3x,
equals −1, by observation, for x = 1. So h′(−1) or (when x = 1)
equals

(D)

(B) Since   

(D) The given   limit   is  the derivative  of  g(x)    at  x   =   0.

(B) The tangent line    appears to  contain (3,−2.6)    and (4,−1.8).

(D) f ′(x)  is  least   at  the point   of  inflection  of  the curve,  at  about   0.7.

(C)

(B) By  calculator, 
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