Calculus Practice Quiz – Medium Level

Test your calculus skills with eight medium‑difficulty multiple‑choice problems.

medium difficultyproblem solvingcalculuslimitsintegralsderivativesoptimizationrate of changeareachain rule
Difficulty:MEDIUM

Quiz Details

Questions8
CategoryMathematics & Logic
DifficultyMEDIUM
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Quiz Questions

Answer all questions below and test your knowledge.

  1. 1

    What is the limit of sin x divided by x as x approaches zero?

    Question 1
  2. 2

    Find the derivative of the polynomial x³ − 5x² + 4.

    Question 2
  3. 3

    Integrate 2·e^(2x) with respect to x.

    Question 3
  4. 4

    If f(x)=ln x, what is f′(e)?

    Question 4
  5. 5

    Using the chain rule, differentiate sin(x²).

    Question 5
  6. 6

    What is the area under y=x from x=0 to x=3?

    Question 6
  7. 7

    Evaluate the limit as x→∞ of (3x²+2)/(2x²‑5).

    Question 7
  8. 8

    For g(t)=t⁴, what is the second derivative g″(t)?

    Question 8

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