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Describe how the graph of $ f $ varies as $ c $ varies. Graph several members of the family to illustrate the trends that you discover. In particular, you should investigate how maximum and minimum points and inflection points move when $ c $ changes. You should also identify any transitional values of $ c $ at which basic shape of the curve changes.
$ f(x) = \dfrac{\sin x}{c + \cos x} $
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Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 6
Graphing with Calculus and Calculators
Derivatives
Differentiation
Volume
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