Cracking The Ap Calculus ab Exam 2018

(Marvins-Underground-K-12) #1
sin^2   =    .  Next,   we  find    m   by  taking  the derivative, and then    plugging    in  x   =    .  We  get:    

    =   3   (2  sin x   (cos    x)  and thus    m   =   3       =   3.  Therefore,  the equation    of  the

tangent line    is: y   −       =   3   .


  1. D Recall the definition of the derivative says: = f′ (x) and the derivative


of  sec x   is  tan x   sec x.  Thus,       =   tan     sec     =       =   .

Therefore,  the limit   does    not exist.


  1. A Using the Product Rule, u + v , take the derivative of f (x) and you get A.

  2. D Using the Chain Rule, = , take the derivative of f(x) and you get D.

  3. B First, use implicit differentiation to find :


2 x^2 y     +   2   xy^2    =   0

Isolate     and simplify:

Next,   take    the second  derivative  via implicit    differentiation:

Plug    in   :
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