If a function f is continuous at a andthen the curve y = f(x) has a vertical tangent line at a and the equation of the tangent line is x = a. If a is an endpoint of a domain, then the appropriate one-sided derivative is used. Use this information to answer the following questions.

Graph the following functions and determine the location of the vertical tangent lines.

a. f(x) = (x - 2)^1/3 

b. f(x) = (x + 1)^2/3
c. f(x) = √|x - 4|

d. f(x) = x^5/3 - 2x^1/3

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lim | f'(x)| =