Calculus Concepts and Techniques

Calculus Concepts and Techniques

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers the no-calculator multiple-choice questions from the 2012 practice exam. The instructor provides step-by-step solutions and explanations for each question, highlighting key calculus concepts such as derivatives, integrals, limits, and continuity. The video also offers tips for preparing for the AP exam, emphasizing the importance of understanding the concepts and practicing problem-solving skills.

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

The 2012 practice exam's calculator section

The 2022 practice exam's no calculator section

The 2012 practice exam's no calculator section

The 2022 practice exam's calculator section

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is used to solve the first question involving derivatives?

Quotient Rule

Product Rule

Chain Rule

Power Rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine where a function is increasing?

By evaluating the function at endpoints

By analyzing the sign of the first derivative

By finding the critical points

By finding the second derivative

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of secant x?

Secant x times tangent x

Tangent x times cotangent x

Cosecant x times cotangent x

Secant x times cosecant x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is F Prime calculated at a specific point?

By using the second derivative test

By substituting the point into the derivative function

By substituting the point into the original function

By using the limit definition of a derivative

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is necessary for a limit to exist at a point?

The function must have a horizontal asymptote at that point

The function must be continuous at that point

The left-hand and right-hand limits must be equal

The function must be differentiable at that point

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the total distance traveled?

By finding the derivative of the position function

By integrating the velocity function over the given interval

By calculating the average velocity

By finding the area under the acceleration curve

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