Master AP Calculus AB & BC
QUICK REFERENCE GUIDE
These pages contain just about all the formulas you need to know by heart before you can take the AP Test. It does not contain all the theorems and techniques you need to know. An asterisk (*) indicates a Calculus BC-only formula.
Limits
Derivatives
Power Rule:
Product Rule:
Quotient Rule:
Chain Rule:
*Parametric derivatives:
Derivative Applications
Mean Value Theorem:
s(t) is the position function; s’(t) = v(t), the velocity function; v’(t) = a(t), the acceleration function
Projectile position equation:
Integration
Power Rule for Integrals:
Trapezoidal Rule:
Fundamental Theorem (Part 1): if F is the antiderivative of f(x)
Fundamental Theorem (Part 2):
Average Value:
*Integration by Parts:
Integration Applications
Disk Method:
Washer Method:
Shell Method:
*Arc Length:
*Polar Area:
Differential Equations
Exponential growth/decay:
*Logistic growth:
*Sequences and Series
Sum of a geometric series:
Ratio Test:
Limit Comparison Test:
Taylor series for f(x) centered at x = c: