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.
How to compute and simplify the difference quotient of a linear function.
How to evaluate the limit of a function at points where it is not continuous.
How to write a function to describe a table of values.
How to graph a rational function when there is a common factor in the numerator and denominator
How to differentiate a composite function when the outside function is the natural logarithm.
How to differentiate a product of two functions.
How to reflect the graph of y = f(x) across the y-axis.
How to quickly find the limit of a rational function as x goes to infinity.
How to graph y = tan(theta) for 0 <= theta < pi/2.
How to find the x-intercepts and vertical asymptotes of the graph of y = tan(q).
How to evaluate expressions like tan(sin (4/5))^(-1).