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 curves and determine the location of any vertical tangent lines.

a. x² + y² = 9

b. x² + y² + 2x = 0

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lim | f'(x)| =