Examples when standard functions are or are not differentiable.
18.013A Calculus with Applications, Spring 2005
Prof. Daniel J. Kleitman
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Graphs of the types of discontinuities, including cusps, jump discontinuity, removable discontinuity, infinite discontinuity, and essential discontinuity.
18.013A Calculus with Applications, Spring 2005
Prof. Daniel J. Kleitman
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Ten questions which involve calculating one- and two-sided limits, identifying points of discontinuity, and making piecewise defined functions continuous and differentiable.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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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.
Finding the points where a piecewise-defined function will be differentiable.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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