Reference tables

The tables you keep looking up, in one place, with a one-line reason each rule is true. For a live visualizer on the same class page, start at widgets.

• Derivative Rules: The Complete Table

  Every AP Calculus derivative rule in one table: power, product, quotient, chain, all six trig, inverse trig, exponential, and log, each with when to use it.

• Common Integrals: The Complete Table

  Every antiderivative on the AP Calculus exam in one table: power rule, 1/x, e^x, a^x, trig, and inverse-trig forms, each with a when-to-use note. AB and BC.

• Limit Laws and Indeterminate Forms

  Limit laws, the two indeterminate forms eligible for L'Hospital (0/0 and infinity/infinity), forms that only look indeterminate, and the special trig limits.

• Series Convergence Tests: The Complete Table (BC)

  The eight AP Calculus BC convergence tests in one table: what each applies to, what it concludes, and traps. Course and Exam Description Topics 10.1 to 10.9.

• Common Maclaurin Series Table (BC)

  Maclaurin series for e^x, sin x, cos x, 1/(1-x), plus ln(1+x) and arctan x: general terms, intervals of convergence, and when to use each. BC Topic 10.14.

• Trig Identities You Actually Need for Calculus

  Pythagorean, double-angle (power reduction), and sum identities for AP Calculus, each paired with the exact integration situation that calls for it.