# The Implicit Function Theorem - UCLA

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assignment is makes z a continuous function of x and y. Colloquially, the upshot of the implicit function theorem is that for su ciently nice points on a surface, we can (locally) pretend this surface is the graph of a function. The primary use for the implicit function theorem in this course is for implicit di erentiation. You’ve

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assignment is makes z a continuous function of x and y. Colloquially, the upshot of the implicit function theorem is that for su ciently nice points on a surface, we can (locally) pretend this surface is the graph of a function. The primary use for the implicit function theorem in this course is for implicit di erentiation. You’ve
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