## Grade

## Subject

- Arithmetic
- Pre-Algebra
- Whole Numbers
- The Base Ten Number System
- Addition of Whole Numbers
- Subtraction of Whole Numbers
- Multiplication of Whole Numbers
- Division of Whole Numbers
- Exponents
- Order of Operations
- Averages of Whole Numbers
- Prime Numbers and Prime Factorization of Numbers
- The Greatest Common Factor (GCF) and Least Common Multiple (LCM)

- Fractions
- Decimal Numbers
- Ratios and Proportions
- Percents
- Signed Numbers
- Roots of Numbers
- Units of Measurement
- Algebra Topics

- Whole Numbers
- Elementary Algebra
- A Review of Arithmetic
- Algebra and the Real Numbers
- Linear Equations and Inequalities in One Variable
- Simplifying Algebraic Expressions
- Solving Linear Equations Using the Addition and Subtraction Properities of Equality
- Solving Linear Equations Using the Multiplication and Division Properties of Equality
- Literal Equations and Formulas
- The Addition and Subtraction Properties of Inequality
- The Multiplication and Division Properties of Inequality
- Solving Absolute Value Equations and Inequalities
- More Applications

- Linear Equations and Inequalities in Two Variables; Functions
- Systems of Linear Equations and Inequalities
- Polynomials and the Laws of Exponents
- Products and Factors
- Rational Expressions and Fractions
- Roots and Radicals
- Quadratic Equations

- Intermediate Algebra
- The Real-Number System
- Linear Equations and Inequalities
- Linear Equations and Functions in Two Variables
- Systems of Linear Equations and Inequalities
- Laws of Exponents, Polynomials, and Polynomial Functions
- Factoring Polynomials; Factoring by Grouping
- Rational Expressions, Equations, and Functions
- Radicals, and Rational Exponents
- Quadratic Equations, Functions, and Inequalities
- Conic Sections
- Exponential and Logarithmic Functions
- Sequences, Series, and the Binomial Theorem

- Geometry
- College Algebra
- Trigonometry
- Precalculus
- Precalculus Review For Calculus I
- Calculus I
- Test Yourself
- Functions and Limits
- The Derivative
- Rate of Change of a Function, Tangent to a Graph, Instantaneous Velocity
- The Derivative
- Rules of Differentiation I - Power and Sum Rules
- Rules of Differentiation II - Product and Quotient Rules
- Derivatives of the Trigonometric Functions, Some Preliminary Limit Results
- Rules of Differentiation III - Chain Rule
- Higher-Order Derivatives
- Implicit Differentiation
- Rules of Differentiation IV - Extended Power Rules
- Differentials and Linear Approximation
- Newtons Method

- Applications of the Derivative
- The Integral
- Applications of the Integral

- Calculus II
- Logarithmic and Exponential Functions
- Inverse Functions
- The Natural Logarithmic Function
- The Exponential Function
- Integrals Involving Logarithmic and Exponential Functions
- Exponential and Logarithmic Functions to Other Bases
- The Hyperbolic Functions
- Applications and First-Order Differential Equations; Separable First-Order Equations; Linear First-Order Equations

- Inverse Trigonometric and Hyperbolic Functions
- Techniques of Integration
- Indeterminant Forms and Improper Integrals
- Sequences and Series
- Analytic Geometry In the Plane

- Logarithmic and Exponential Functions
- Calculus III
- Recorded Lectures

- Arithmetic
## Industry

## Alphabetical Index

of Keywords

Home / Classroom / Calculus I / Applications of the Derivative / Rolles Theorem and the Mean Value Theorem / Determining Why Rolles Theorem Cannot Be Used From a Graph

**To Browse Problems:**

Select the desired Subject → Chapter → Section → Group

Watch the introductory video for the sample problem of this lesson.

Practice Solving the problems.

Print the worksheet and work through each problem.

Deseleect All Select All

Watch the solution videos to see which problems you go right on the worksheet. Watch and understand the step-by-step solution videos to the problems you did not answer correctly and see if you can understand where you made mistakes.