MASTERING CALCULUS CONCEPTS

Here Are 50 QUIZZES / Multiple-Choice Questions (MCQS) For

AP CALCULUS AB
Along With Their Correct Answers.




1. What is the derivative of the function f(x) = 3x^2 + 2x - 1 at the point x = 2?

A) 14

B) 16

C) 10

D) 8

**Answer: B) 16**



2. The limit of (x^2 - 4) / (x - 2) as x approaches 2 is:

A) 4

B) 2

C) 0

D) 1

**Answer: B) 2**



3. The integral of 2x^3 with respect to x is:

A) x^4 + C

B) x^3 + C

, C) x^2 + C

D) x^ + C

**Answer: A) x^4 + C**



4. What is the derivative of ln(4x) with respect to x?

A) 1 / (4x)

B) 4

C) 1 / x

D) 1 / (4x^2)

**Answer: C) 1 / x**



5. The second derivative of f(x) = 3x^4 - 8x^2 + 2 is:

A) 24x^2 - 16

B) 36x^2 - 16

C) 24x - 8

D) 12x^3 - 8x

**Answer: A) 24x^2 - 16**



6. The function f(x) = e^x - 3x has a critical point at x =:

A) 0

B) 1

C) -1

, D) 2

**Answer: B) 1**



7. The limit of (sin(x) / x) as x approaches 0 is:

A) 1

B) 0

C) -1

D) Undefined

**Answer: A) 1**



8. What is the indefinite integral of cos(2x) with respect to x?

A) (1/2)sin(2x) + C

B) (1/2)cos(2x) + C

C) sin(2x) + C

D) (2/3)sin(2x) + C

**Answer: A) (1/2)sin(2x) + C**



9. The slope of the tangent line to the curve y = x^2 at the point (2, 4) is:

A) 2

B) 4

C) 1

D) 8