It is not necessarily the case that a function will be written explicitly in terms of it’s independent variable. In these situations there is usually an expression that involves the independent variable(s) and the dependent variable implicitly. In this case something called implicit differentiation is used when evaluating the derivative. Below is an introduction to implicit differentiation and some practice exercises to really help train the technique of implicit differentation.
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Practice evaluating the limit of functions with Raise My Marks math tutoring and exercises. Servicing Ottawa, Toronto and across Canada. Specializing in provincial curriculums, IB math, AP Calculus, university and college mathematics.
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