How to differentiate a composite function.
How to know when a negative coefficient is associated with power.
How to evaluate logarithms when the argument is a recognizable power of the base.
How to differentiate a composite function when the outside function is exponential.
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 antidifferentiate functions with radicals.
How to evaluate the limit of a function using continuity.
How to use the power reduction formulas to derive the half-angle formulas.
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 infer the derivative of the natural log function using a calculator investigation.
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.