Derivative and Linear Approximation

Explores finding the equation of the tangent line to a function's graph at a point.

Covers Rolle's Theorem and the Mean Value Theorem with illustrative examples.

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Introduces the study of functions defined by power series and emphasizes the importance of separately considering boundary points.

Covers differentiable functions, derivatives, and tangent planes in mathematics.