Calculus Index

• Independent Study

• Summary
• Limits
  • Formal definition of limits
  • The Squeeze Theorem
  • Useful Trigonometric Limits

• Differentiation
  • Table of derivatives
  • Definition of differentiation
  • The Notation of Differentiation
  • Rules of Differentiation
    • Derivatives of polynomial functions
    • The Product Rule
    • The Quotient Rule
    • The chain rule
    • A proof of the chain rule
    • Implicit differentiation
    • Fractional exponents
    • Differentiation of inverse functions
  • Derivatives of Trigonometric functions
    • Derivative of sine
    • Derivatives of cosine
    • Derivatives of other trigonometric functions
    • Derivatives of inverse trigonometric functions
  • Derivatives of Logarithmic Functions
    • Euler's magic number/ Derivative of exponentials
    • Differentiation of logarithms
    • Derivatives of hyperbolic functions

• Applications of Differentiation
• Integration
• Methods of integration