Differentiability & Continuity

 

Differentiability of Standard Functions

Examples when standard functions are or are not differentiable.

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Examples of Non-Differentiable Behavior

Graphs of the types of discontinuities, including cusps, jump discontinuity, removable discontinuity, infinite discontinuity, and essential discontinuity.

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Limits and Continuity

Ten questions which involve calculating one- and two-sided limits, identifying points of discontinuity, and making piecewise defined functions continuous and differentiable.

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Piecewise Defined Functions

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Finding values where a piecewise defined function will be continuous and differentiable.

Finding values where a piecewise defined function will be differentiable.

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Differentiability of Piecewise-Defined Functions

Finding the points where a piecewise-defined function will be differentiable.

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