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**About this book :- **
** 1001 Calculus Practice Problems for Dummies ** written by
** PatrickJMT **.

Practice makes perfect—and helps deepen your understanding of calculus. 1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go. Gives you a chance to practice and reinforce the skills you learn in your calculus course. Helps you refine your understanding of calculus. Practice problems with answer explanations that detail every step of every problem. The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time.

**Book Detail :- **
** Title: ** 1001 Calculus Practice Problems for Dummies
** Edition: **
** Author(s): ** PatrickJMT
** Publisher: ** John Wiley & Sons Inc
** Series: ** For dummies
** Year: ** 2014
** Pages: **
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-1-118-49671-8,978-1-118-49670-1,978-1-118-49673-2,1118496701,111849671X
** Country: ** US
** Get this book from Amazon**

**About Author :- **

The author is published this from Canada.

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**Book Contents :- **
** 1001 Calculus Practice Problems for Dummies ** written by
** PatrickJMT **
cover the following topics.
**Introduction **

What You’ll Find

Beyond the Book.1

What you’ll find online

How to register

Where to Go for Additional Help

**Part I: The Questions**
**1: Algebra Review **

The Problems You’ll Work On

What to Watch Out For

Simplifying Fractions

Simplifying Radicals

Writing Exponents Using Radical Notation

The Horizontal Line Test

Find Inverses Algebraically

The Domain and Range of a Function and Its Inverse

Linear Equations

Quadratic Equations

Solving Polynomial Equations by Factoring

Absolute Value Equations

Solving Rational Equations

Polynomial and Rational Inequalities

Absolute Value Inequalities

Graphing Common Functions

Domain and Range from a Graph

End Behavior of Polynomials

Adding Polynomials

Subtracting Polynomials

Multiplying Polynomials

Long Division of Polynomials
**2: Trigonometry Review **

The Problems You’ll Work On

What to Watch Out For

Basic Trigonometry

Converting Degree Measure to Radian Measure

Converting Radian Measure to Degree Measure

Finding Angles in the Coordinate Plane

Finding Common Trigonometric Values

Simplifying Trigonometric Expressions.

Solving Trigonometric Equations

Amplitude, Period, Phase Shift, and Midline

Equations of Periodic Functions

Inverse Trigonometric Function Basics

Solving Trigonometric Equations using Inverses
**3: Limits and Rates of Change**

The Problems You’ll Work On

What to Watch Out For

Finding Limits from Graphs

Evaluating Limits

Applying the Squeeze Theorem

Evaluating Trigonometric Limits

Infinite Limits

Limits from Graphs

Limits at Infinity

Horizontal Asymptotes

Classifying Discontinuities

Continuity and Discontinuities

Making a Function Continuous

The Intermediate Value Theorem
**4: Derivative Basics**

The Problems You’ll Work On

What to Watch Out For

Determining Differentiability from a Graph

Finding the Derivative by Using the Definition

Finding the Value of the Derivative Using a Graph

Using the Power Rule to Find Derivatives

Finding All Points on a Graph Where Tangent Lines Have a Given Value
**5: The Product, Quotient, and Chain Rules **

The Problems You’ll Work On

What to Watch Out For

Using the Product Rule to Find Derivatives.

Using the Quotient Rule to Find Derivatives

Using the Chain Rule to Find Derivatives

More Challenging Chain Rule Problems
**6: Exponential and Logarithmic Functions and Tangent Lines **

The Problems You’ll Work On

What to Watch Out For

Derivatives Involving Logarithmic Functions

Logarithmic Differentiation to Find the Derivative

Finding Derivatives of Functions Involving Exponential Functions

Finding Equations of Tangent Lines

Finding Equations of Normal Lines
**7: Implicit Differentiation **

The Problems You’ll Work On

What to Watch Out For

Using Implicit Differentiation to Find a Derivative

Using Implicit Differentiation to Find a Second Derivative

Finding Equations of Tangent Lines Using Implicit Differentiation
**8: Applications of Derivatives **

The Problems You’ll Work On

What to Watch Out For

Finding and Evaluating Differentials

Finding Linearizations

Using Linearizations to Estimate Values

Understanding Related Rates

Finding Maxima and Minima from Graphs

Using the Closed Interval Method

Finding Intervals of Increase and Decrease

Using the First Derivative Test to Find Local Maxima and Minima

Determining Concavity

Identifying Inflection Points

Using the Second Derivative Test to Find Local Maxima and Minima

Applying Rolle’s Theorem

Using the Mean Value Theorem

Applying the Mean Value Theorem to Solve Problems

Relating Velocity and Position

Finding Velocity and Speed

Solving Optimization Problems

Doing Approximations Using Newton’s Method

Approximating Roots Using Newton’s Method
**9: Areas and Riemann Sums .**

The Problems You’ll Work On

What to Watch Out For

Calculating Riemann Sums Using Left Endpoints

Calculating Riemann Sums Using Right Endpoints

Calculating Riemann Sums Using Midpoints

Using Limits and Riemann Sums to Find Expressions for Definite Integrals

Finding a Definite Integral from the Limit and Riemann Sum Form

Using Limits and Riemann Sums to Evaluate Definite Integrals
**10: The Fundamental Theorem of Calculus and the Net Change Theorem**

The Problems You’ll Work On

What to Watch Out For

Using the Fundamental Theorem of Calculus to Find Derivatives

Working with Basic Examples of Definite Integrals

Understanding Basic Indefinite Integrals

Understanding the Net Change Theorem

Finding the Displacement of a Particle Given the Velocity

Finding the Distance Traveled by a Particle Given the Velocity

Finding the Displacement of a Particle Given Acceleration

Finding the Distance Traveled by a Particle Given Acceleration
**11: Applications of Integration **

The Problems You’ll Work O

What to Watch Out For

Areas between Curves

Finding Volumes Using Disks and Washers

Finding Volume Using Cross-Sectional Slices

Finding Volumes Using Cylindrical Shells

Work Problems

Average Value of a Function
**12: Inverse Trigonometric Functions, Hyperbolic Functions, and L’Hôpital’s Rule **

The Problems You’ll Work On

What to Watch Out For

Finding Derivatives Involving

Inverse >Trigonometric Functions

Finding Antiderivatives by Using Inverse Trigonometric Functions

Evaluating Hyperbolic Functions Using Their Definitions

Finding Derivatives of Hyperbolic Functions

Finding Antiderivatives of Hyperbolic Functions

Evaluating Indeterminate Forms Using L’Hôpital’s Rule
**13: U-Substitution and Integration by Parts **

The Problems You’ll Work On

What to Watch Out For

Using u-Substitutions

Using Integration by Parts
**14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions**

The Problems You’ll Work On

What to Watch Out For

Trigonometric Integrals

Trigonometric Substitutions

Finding Partial Fraction Decompositions (without Coefficients)

Finding Partial Fraction Decompositions (Including Coefficients)

Integrals Involving Partial Fractions

Rationalizing Substitutions
**15: Improper Integrals and More Approximating Techniques **

The Problems You’ll Work On

What to Watch Out For

Convergent and Divergent Improper Integrals

The Comparison Test for Integrals

The Trapezoid Rule

Simpson’s Rule

**Part II: The Answers**
**16: Answers and Explanations**
**Index**

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Divison related shortcut Tricks

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
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Prime Number related shortcut Tricks

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?