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Lesson 6: The derivative as a function
The document discusses the concept of derivatives in calculus, highlighting their computation for root functions and situations where functions may fail to be differentiable, such as kinks and cusps. It also introduces notations from Newton and Leibniz for derivatives and the second derivative, which measures the rate of change of the rate of change. Key theorems related to differentiability and continuity are presented, along with various examples and worksheets for further understanding.
