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Calculus I - Practice Problems Review

Here is a list of sections for which problems have been written.

 

Review

Review : Functions

Review : Inverse Functions

Review : Trig Functions

Review : Solving Trig Equations

Review : Solving Trig Equations with Calculators, Part I

Review : Solving Trig Equations with Calculators, Part II
Review : Exponential Functions

Review : Logarithm Functions

Review : Exponential and Logarithm Equations

Review : Common Graphs

 

            Limits

Tangent Lines and Rates of Change

The Limit

One-Sided Limits

Limit Properties

Computing Limits

Infinite Limits

Limits At Infinity, Part I

Limits At Infinity, Part II

Continuity

The Definition of the Limit - No problems written yet.

 

            Derivatives

The Definition of the Derivative

Interpretation of the Derivative

Differentiation Formulas

Product and Quotient Rule

Derivatives of Trig Functions

Derivatives of Exponential and Logarithm Functions

Derivatives of Inverse Trig Functions

Derivatives of Hyperbolic Functions

Chain Rule

Implicit Differentiation

Related Rates

Higher Order Derivatives

Logarithmic Differentiation

 

            Applications of Derivatives

Rates of Change

Critical Points

Minimum and Maximum Values

Finding Absolute Extrema

The Shape of a Graph, Part I

The Shape of a Graph, Part II

The Mean Value Theorem

Optimization Problems

More Optimization Problems

L’Hospital’s Rule and Indeterminate Forms

Linear Approximations

Differentials

Newton’s Method

Business Applications

 

Integrals

Indefinite Integrals

Computing Indefinite Integrals

Substitution Rule for Indefinite Integrals

More Substitution Rule

Area Problem

Definition of the Definite Integral

Computing Definite Integrals

Substitution Rule for Definite Integrals

 

            Applications of Integrals

Average Function Value

Area Between Two Curves

Volumes of Solids of Revolution / Method of Rings

Volumes of Solids of Revolution / Method of Cylinders

More Volume Problems

Work

Problem Pane
Calculus I - Practice Problems Review

Online Notes / Calculus I (Practice Problems)

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