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MTH181: Calculus I
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Peer Advice
Additional Resources
FAQs
Course Content
Unit 1: Limits and Continuity
Algebra & Trigonometry Review
Rates of Change
Limits: Graphical and Numerical
Continuity
Limits: Analytical
Limits at Infinity
Intermediate Value Theorem
Unit 1 Review Problems
Unit 2: Differentiation
Definition of the Derivative
Derivative as a Function
Differentiation Rules
Product and Quotient Rules
Trigonometric Derivatives
Chain Rule
Inverse Function Derivatives
Exponential and Logarithmic Derivatives
Rates of Change: Applications
Unit 2 Review Problems
Unit 3: Applications of Derivatives
Implicit Differentiation
Related Rates
Linear Approximation and Differentials
Maxima and Minima
Mean Value Theorem
The Shape of a Graph
Applied Optimization
L'Hôpital's Rule
Unit 3 Review Problems
Unit 4: Integration
Antiderivatives
Approximating Area
Definite Integral
Fundamental Theorem of Calculus
Net Change
Substitution
Unit 4 Review Problems
MyOpenMath
MTH181: Calculus I
Home
Peer Advice
Additional Resources
FAQs
Course Content
Unit 1: Limits and Continuity
Algebra & Trigonometry Review
Rates of Change
Limits: Graphical and Numerical
Continuity
Limits: Analytical
Limits at Infinity
Intermediate Value Theorem
Unit 1 Review Problems
Unit 2: Differentiation
Definition of the Derivative
Derivative as a Function
Differentiation Rules
Product and Quotient Rules
Trigonometric Derivatives
Chain Rule
Inverse Function Derivatives
Exponential and Logarithmic Derivatives
Rates of Change: Applications
Unit 2 Review Problems
Unit 3: Applications of Derivatives
Implicit Differentiation
Related Rates
Linear Approximation and Differentials
Maxima and Minima
Mean Value Theorem
The Shape of a Graph
Applied Optimization
L'Hôpital's Rule
Unit 3 Review Problems
Unit 4: Integration
Antiderivatives
Approximating Area
Definite Integral
Fundamental Theorem of Calculus
Net Change
Substitution
Unit 4 Review Problems
MyOpenMath
More
Home
Peer Advice
Additional Resources
FAQs
Course Content
Unit 1: Limits and Continuity
Algebra & Trigonometry Review
Rates of Change
Limits: Graphical and Numerical
Continuity
Limits: Analytical
Limits at Infinity
Intermediate Value Theorem
Unit 1 Review Problems
Unit 2: Differentiation
Definition of the Derivative
Derivative as a Function
Differentiation Rules
Product and Quotient Rules
Trigonometric Derivatives
Chain Rule
Inverse Function Derivatives
Exponential and Logarithmic Derivatives
Rates of Change: Applications
Unit 2 Review Problems
Unit 3: Applications of Derivatives
Implicit Differentiation
Related Rates
Linear Approximation and Differentials
Maxima and Minima
Mean Value Theorem
The Shape of a Graph
Applied Optimization
L'Hôpital's Rule
Unit 3 Review Problems
Unit 4: Integration
Antiderivatives
Approximating Area
Definite Integral
Fundamental Theorem of Calculus
Net Change
Substitution
Unit 4 Review Problems
MyOpenMath
Derivative as a Function
Suggested textbook problems
3.2 The Derivative as a Function - Calculus Volume 1 | OpenStax
Section 3.2 odd-numbered exercises 55 - 73, 79, 85 - 99
Back to Unit 2: Differentiation
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