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Preparing for the AP Calculus AB Exam – Part 1

Derivatives

Daniel Blanco and Tracey Jensen

Preparing for the AP Calculus AB exam requires a deep understanding of many different topics in calculus as well as an understanding of the AP exam and the types of questions it asks. This course is Part 1 of our XSeries: AP Calculus AB and it is designed to prepare you for the AP exam.

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Preparing for the AP Calculus AB exam requires a deep understanding of many different topics in calculus as well as an understanding of the AP exam and the types of questions it asks. This course is Part 1 of our XSeries: AP Calculus AB and it is designed to prepare you for the AP exam.

In Part 1, you will be learning about limits and derivatives. Limits are an integral part of calculus and many important ideas, definitions, formulas and theorems in calculus are derived from a limit. Derivatives are used to describe the rate of change of one variable with respect to another variable, allowing you to understand change in a variety of contexts. You will be learning to apply derivatives to real-world applications such as related rates, optimization, and growth/decay models.

As you work through this course, you will find lecture videos taught by expert AP calculus teachers, practice multiple choice questions and free response questions that are similar to what you will encounter on the AP exam and tutorial videos that show you step-by-step how to solve problems. By the end of the course, you should be ready to take on the AP exam!

What you'll learn

  • Limits
  • Derivatives
  • Applications of Derivatives
  • Preparation for the AP Calculus AB Exam 

What's inside

Learning objectives

  • Limits
  • Derivatives
  • Applications of derivatives
  • Preparation for the ap calculus ab exam 

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Specifically designed to prepare students for the AP Calculus AB exam
Outlined and structured to match the AP Calculus AB exam content
Led by a team of experienced instructors
Teaches concepts that are foundational to calculus and the AP Calculus AB exam
Provides a comprehensive overview of limits and derivatives
Includes a variety of learning resources

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Learners who complete Preparing for the AP Calculus AB Exam – Part 1: Derivatives will develop knowledge and skills that may be useful to these careers:
Mathematician
Mathematicians use the principles of mathematics to solve problems and develop new mathematical theories. They use computational techniques and perform complex calculations. There is a heavy emphasis on abstract reasoning in the field. This course can be useful for building a foundation in basic calculus needed for a career as a mathematician.
Operations Research Analyst
Operations research analysts use mathematical and analytical techniques to solve complex problems in business and industry. They use data to identify inefficiencies and develop solutions to improve processes. This course may be useful for developing skills in applying derivatives to real-world problems and optimizing outcomes.
Financial Analyst
Financial analysts use financial data to make recommendations on investments and business decisions. They use mathematical and statistical techniques to analyze financial trends and make predictions about future performance. This course may be useful for building a foundation in calculus and understanding how it is applied in finance.
Actuary
Actuaries use mathematical and statistical techniques to assess risk and uncertainty. They work with insurance companies and other financial institutions to calculate premiums and determine the likelihood of events occurring. This course may be useful for building a foundation in calculus and understanding how it is applied to risk assessment.
Data Scientist
Data scientists gather, analyze, and interpret large amounts of data to extract meaningful insights. They work with complex datasets and use advanced analytical techniques to identify patterns and trends. This course may be useful for developing skills in interpreting data and applying derivatives to real-world applications.
Petroleum Engineer
Petroleum engineers design and build systems to extract and refine oil and gas. They use mathematical and scientific principles to ensure that systems are safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in petroleum engineering.
Civil Engineer
Civil engineers design and build infrastructure projects, such as roads, bridges, and buildings. They use mathematical and scientific principles to ensure that structures are safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in civil engineering.
Nuclear Engineer
Nuclear engineers design and build nuclear power plants and other nuclear facilities. They use mathematical and scientific principles to ensure that plants are safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in nuclear engineering.
Aerospace Engineer
Aerospace engineers design and build aircraft, spacecraft, and other aerospace vehicles. They use mathematical and scientific principles to ensure that vehicles are safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in aerospace engineering.
Electrical Engineer
Electrical engineers design and build electrical systems and components. They use mathematical and scientific principles to ensure that systems are safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in electrical engineering.
Agricultural Engineer
Agricultural engineers design and build agricultural machinery and systems. They use mathematical and scientific principles to ensure that machinery is safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in agricultural engineering.
Software Engineer
Software engineers design, develop, and maintain software systems. They use programming languages and tools to create applications and websites. This course may be useful for building a foundation in calculus and understanding how it is applied in software development.
Mechanical Engineer
Mechanical engineers design and build machines and mechanical systems. They use mathematical and scientific principles to ensure that machines are efficient and effective. This course may be useful for building a foundation in calculus and understanding how it is applied in mechanical engineering.
Chemical Engineer
Chemical engineers design and build chemical plants and processes. They use mathematical and scientific principles to ensure that plants are safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in chemical engineering.
Environmental Engineer
Environmental engineers design and build systems to protect the environment. They use mathematical and scientific principles to ensure that systems are safe and efficient. This course may be useful for building a foundation in calculus and understanding how it is applied in environmental engineering.

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