Determining where a function is increasing or decreasing and the relative extrema

Determining where a function is increasing or decreasing and the relative extrema

Using the Mean Value Theorem to prove facts about functions

What the derivatives of a function tell us about the shape of its graph

Using the Monotone Sequence Theorem and induction to show a sequence converges

Proving the Alternating Series and Ratio Test and covers absolute convergence

Tangent lines to parametric equations and related rates examples

Tangent lines to parametric equations and related rates examples

Mean Value Theorem and using derivatives to find the shape of curves