Limits
Limit Formula
Power Rule (Differentiation)
Chain Rule (Differentiation)
Product Rule (Differentiation)
Quotient Rule (Differentiation)
Standard Derivatives of Functions
Local Maximums (Differentiation)
Local Minimums (Differentiation)
Continuity (Differentiation)
Continuity - A Function is continuous if:
f(x) is defined at every point in a domain.
There is a limit at every point.
The limit at a point is equal to the functional value at that point.
L’Hopital’s Rule
Implicit Differentiation
For any function with more than one variable, consider the variable that is not differentiated with respect to a function.
Notation of Indefinite Integrals
Integrals without fixed upper and lower boundaries for the integral (add constant of integration ‘c’).
Power Rule (Integration)
Integration by Substitution
Trigonometric Substitutions (Integration)
Standard Integrals of Functions
Fundamental Theorem of Calculus
Definite Integrals
Integrals with fixed upper and lower boundaries (constant of integration ‘c’ disappears).
Area between two Curves (Integration)
Integration by Parts
Tips for Integration by Parts
Volume of Revolutions (Integration)
Kinematics (Integration)
Separation of Variables (Integration)
Standard Logistic Equation (Integration)