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Calculus BC Semester 1Final Exam Review

Calculus BC Semester 1Final Exam Review

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
8.F.A.3

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a critical number in calculus?

Back

A critical number of a function is a number in the domain of the function where the derivative is either zero or undefined.

Tags

CCSS.8.F.A.3

2.

FLASHCARD QUESTION

Front

How do you find the acceleration of an object given its position function x(t)?

Back

To find the acceleration, take the second derivative of the position function x(t) with respect to time t.

3.

FLASHCARD QUESTION

Front

What is the purpose of Riemann sums in numerical integration?

Back

Riemann sums are used to approximate the area under a curve by dividing it into rectangles and summing their areas.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the quotient rule in calculus?

Back

6.

FLASHCARD QUESTION

Front

What is the second derivative test used for?

Back

The second derivative test is used to determine the concavity of a function and to classify critical points as local maxima, minima, or points of inflection.

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing on an interval if its derivative is positive on that interval, and decreasing if its derivative is negative.

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