MM & SM Continuity and Differentiability Exploration

Continuous and Differentiable Functions Exploration using TI-Nspire CAS.

Objective: Given a piecewise function, make the function continuous at the boundary between the two branches. Then make the function differentiable at this point.

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Using CAS features such as slider, limits, trace, graphing derivative functions, solve and more, learn about the smooth connection between two piecewise functions.