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Calculus 1st Semester Review

Calculus 1st Semester Review

Assessment

Flashcard

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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16 questions

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1.

FLASHCARD QUESTION

Front

What is the limit of the function as x approaches a certain value?

Back

The limit of a function describes the value that the function approaches as the input approaches a certain value.

2.

FLASHCARD QUESTION

Front

True/False: If the limit of a function exists at x=c, then f(c) exists.

Back

False. A function can have a limit at a point without being defined at that point.

3.

FLASHCARD QUESTION

Front

Find the derivative of y = 2x^-1.

Back

y' = -2x^-2.

4.

FLASHCARD QUESTION

Front

What is the derivative of a constant function?

Back

The derivative of a constant function is 0.

5.

FLASHCARD QUESTION

Front

What is the power rule for differentiation?

Back

If y = x^n, then y' = n*x^(n-1).

6.

FLASHCARD QUESTION

Front

Find the limit: lim (x -> 2) (4x^2 - 3).

Back

The limit is 8.

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be continuous at a point?

Back

A function is continuous at a point if the limit exists at that point and equals the function's value at that point.

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