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 define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
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 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.