How to show that a function is discontinuous at a point x=a because it is not defined there.
How to find a two-sided limit by investigating one-sided limits.
How to determine whether a function f(x) is continuous at a particular point x=a.
How to define the derivative of a function at a point x=a.
How to determine the derivative of a linear function.
How to determine the derivative of a power function.
How to evaluate the limit of a function at points where it is not continuous.
How to differentiate a product of two functions.
How to use the definition of the derivative to find a derivative formula for exponential functions.
How to infer the derivative of the natural log function using a calculator investigation.