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However, if a function y is written IMPLICITLY as a function of x, such as x^2 + y^2 = 9, you will need to use But when you come across an implicitly defined function, finding the derivative isn't always that easy. Some relationships cannot be represented by an explicit function. For example, x_+y_=1. Normally, we're dealing with functions that can be separated in terms of x easily. In
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Last Updated: June 13, 2026
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