Factoring

Equations

Domain of Functions

Limits and Continuous Equations

Limits at Infinity

Derivative of a Function

Rules of Differentiation

The Chain Rule for Derivatives

Equation of Tangent Line

Implicit Differentiation

Related Rates

Extrema of a function, Critical numbers, increasing and Decreasing Functions, First Derivative Test

concavity and Point of inflation

Second Derivative Test (Finding Relative Extrema of Function)

Optimization Problems

Linear Approximation (Differentials of x and y)

Antiderivative or Indefinite Integral

Summation & Riemann Sum (Definite Integral)

Fundamental Theorem of Calculus I & II

The Area of a Closed Region

Net Change & the Average Value of Function on an Interval

Newton’s Method of Approximating the Zero of a Function

The Derivative of Exponential and Logarithmic Functions

Antiderivative of Exponential Functions

Relationship between the slope of a Functions and its Inverse

The derivative and Antiderivative of Inverse Trigonometric Functions

Indeterminate Forms and L’Hospital’s Rules

Application of Compound Interest and Radioactive Decay