Learning Objective 2.2B

Learning Objective 2.2B Students will be able to recognize the connection between differentiability and continuity.

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Some curves simply have no derivative at certain locations. Attempting to take a derivative in these situations give nonsensical answers. Therefore, it's important to learn when functions are differentiable, and when they're not.

Essential Knowledge 2.2B1 Shows you how to determine differentiability

Essential Knowledge 2.2B1 Shows you the relationship of differentiability and continuity

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Essential Knowledge 2.2B1 Students will know that a continuous function may fail to be differentiable at a point in its domain.

Essential Knowledge 2.2B2 Students will know that if a function is differentiable at a point, then it is continuous at that point.