How to Show a Function Is Not Differentiable - Search Videos

Differentiability at a point: algebraic (function isn't differentiable)

Differentiability at a point: algebraic (function isn't differentiable)

We examine a piecewise function to determine its differentiability and continuity at an edge point. Through analyzing left and right-hand limits, we find that the function is continuous at the point. However, due to differing slopes from the left and right, the function is not differentiable at the edge point.

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Describe several ways in which a function can fail to be differentiable. Illustrate with sketches.

Describe several ways in which a function can fail to be differentiable. Illustrate with sketches.

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