How to differentiate a composite function.
How to differentiate a composite function when the outside function is a power function.
How to use algebra to show that two functions are inverses.
How to use the method of substitution when the antiderivatives involve e^x or ln[x].
How to evaluate logarithms when the argument is a recognizable power of the base.
How to solve a logarithmic equation by putting it into exponential form.
How to antidifferentiate functions with radicals.
How to evaluate the limit of a function using continuity.
How to infer the derivative of the natural log function using a calculator investigation.
How to use inverse trig functions to find angles in right triangles.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How to determine whether a function f(x) is continuous at a particular point x=a.
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How we identify the behavior of a polynomial graph near an x-intercept.