Calculating slopes of tangent lines to parametric curves

Proving a piecewise function and a polynomial are continuous

Proving a product of continuous functions is continuous and using the Intermediate Value Theorem

Using the Chain Rule to prove facts about derivatives

Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

Using the Mean Value Theorem to prove facts about functions

The definition and properties of definite integrals

Using the Intermediate Value Theorem and Bisection Method to approximate the solution of an equation

Calculating the derivative of a function with exponentials using the chain and product rule