# Lessons [101–200 of 5730 lessons]

- The Product Rule
- Power Rule of Derivatives
- The Differentiability of a Function
- Average and Instantaneous Rates of Change
- Continuity of Functions
- Existence of Limits
- Limits and Limit Notation
- Indefinite Integrals: The Power Rule
- Antiderivatives
- Graphing Using Derivatives
- Interpreting Graphs of Derivatives
- Absolute Extrema
- Critical Points and Local Extrema of a Function
- Definition of the Derivative
- Continuity at a Point
- Limits at Infinity
- Limits of Trigonometric Functions
- Properties of Limits
- One-Sided Limits
- Evaluating Limits Using Algebraic Techniques
- Limits by Direct Substitution
- Limits from Tables and Graphs
- Counting Using Combinations
- Counting Using Permutations
- Combination
- Permutation
- Fundamental Counting Principle
- Equating, Adding, and Subtracting Complex Numbers
- Modulus of a Complex Number
- Pure Imaginary Numbers
- Complex Number Conjugates
- Exponential Form of a Complex Number
- Dividing Complex Numbers
- Polar Form of Complex Numbers
- Operations on Complex Numbers in Polar Form
- Argand Diagram
- Multiplying Complex Numbers
- Direction Angles and Direction Cosines
- Angle between Two Vectors in Space
- Cross Product in 3D
- Dot Product in 3D
- Vectors in Space
- Scalar Projection
- Dot Product in 2D
- Graphical Operations on Vectors
- Vector Operations in 2D
- Adding and Subtracting Vectors in 2D
- Magnitude of a 2D Vector
- Vectors in terms of Fundamental Unit Vectors
- Scalars, Vectors, and Directed Line Segments
- Components of a Vector
- Polar Coordinates
- Increasing and Decreasing Intervals of a Function
- Even and Odd Functions
- Sign of a Function
- Solving Trigonometric Equations with the Double-Angle Identity
- Double-Angle and Half-Angle Identities
- Angle Sum and Difference Identities
- Solving a Trigonometric Equation
- Simple Trigonometric Equations
- Solving Reciprocal Trigonometric Equations
- Solving Equations Using Inverse Trigonometric Functions
- Evaluating Trigonometric Functions Using Pythagorean Identities
- Simplifying Trigonometric Expressions Using Trigonometric Identities
- Simplifying Trigonometric Expressions
- Transformation of Trigonometric Functions
- Evaluating Trigonometric Ratios given the Value of Another Ratio
- Evaluating Trigonometric Functions with Special Angles
- Trigonometric Functions’ Values with Reference Angles
- Signs of Trigonometric Functions in Quadrants
- Trigonometric Ratios in Right Triangles
- Trigonometric Ratios on the Unit Circle
- Conversion between Radians and Degrees
- Angles in Standard Position
- Augmented Matrices
- Solving a System of Three Equations Using a Matrix Inverse
- Introduction to the System of Linear Equations
- Inverse of a Matrix: The Adjoint Method
- Solving a System of Two Equations Using a Matrix Inverse
- Inverse of a 2 × 2 Matrix
- Using Determinants to Calculate Areas
- Cramer’s Rule
- Three-by-Three Determinants
- Two-by-Two Determinants
- Power of a Matrix
- Properties of Matrix Multiplication
- Matrix Multiplication
- Matrix Operations
- Adding and Subtracting Matrices
- Scalar Multiplication of Matrices
- Equal Matrices
- Introduction to Matrices
- Standard Deviation of Discrete Random Variables
- Expected Values of Discrete Random Variables
- Dependent and Independent Events
- Conditional Probability: Two-Way Tables
- Conditional Probability
- Operations on Events
- Complementary Events
- Mutually Exclusive Events