How to determine whether a function f(x) is continuous at a particular point x=a.
How to determine whether a function f(x) is continuous everywhere on its domain.
How to evaluate the limit of a function at points where it is not continuous.
How to evaluate the limit of a function using continuity.
How to use the definition of the derivative to find a derivative formula for exponential functions.
How to define the derivative of a function at a point x=a.
How to use definite integrals to find the area between a curve or under a curve.
How to evaluate definite integrals using the method of substitution.
How to define the derivative function f'(x).
How to show that a function is discontinuous at a point x=a because it is not defined there.
How to determine the derivative of a linear function.
How to use the fundamental theorem of calculus to evaluate a definite integral.
How to determine the derivative of a power function.
How to compute the derivative of a polynomial function using two properties of the derivative.
How to find the average value of a function over an interval [a,b].
How to show that polynomial functions are continuous functions.
How to find a two-sided limit by investigating one-sided limits.
How to use the fundamental theorem of calculus to compute the net change of a quantity.
How to differentiate a composite function.