Proving a piecewise function and a polynomial are continuous

Using the limit definition to find a derivative and proving the power rule

Review of limits, continuity, and the Intermediate Value Theorem

Review of limits, continuity, and the Intermediate Value Theorem

Review of the limit definition of a derivative and calculating the derivative

Review of the limit definition of a derivative and calculating the derivative

Review of the limit definition of a derivative and calculating the derivative

Review of the limit definition of a derivative and calculating the derivative

Solving for constants so that a piecewise function is differentiable everywhere