In this video lesson students explore an exact equation example.

Continuity of piecewise-defined functions.

Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate

In this video lesson students explore the chain rule using partial derivatives.

In this video lesson students learn about using an integrating factor to make a differential equation exact.

Finding the points of inflection for a strangely defined function.

Using a tangent line to extrapolate a function from a known initial condition.

Absolute maximum over an interval. Critical points and differentiability.

In this video lesson students explore solving an exact differential equation.

Determining whether speed is increasing. Difference between speed and acceleration.

Solving a differential equation using separation of variables.

Derivative of a piecewise-defined function.

Taking derivatives and integrals of strangely defined functions.

In this video lesson students explore more exact equation examples.

Calculus AB example questions: Disk method to find the volume of a solid generated by rotation of a function.

Mean Value Theorem and differentiability.

In this lesson students gain more intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2.

In this video students find the derivative of y=x^2.

Sample questions for Calculus BC free responses.

Calculus BC sample questions. Volume of a solid of rotation and Chain Rule for rates of change.

Lagrange error bound for Taylor Polynomial approximation.

Taylor Series for cos x at x=0

Part 2d of the 2008 Calculus BC exam free-response section.

Students watch a video about finding the slope of a tangent line to a curve (the derivative).