Applications of Derivatives Quiz - CBSE Class 11 Mathematics

Free practice quiz: Applications of Derivatives (CBSE Class 11 Mathematics). 32 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 11 Mathematics practice quiz has 32 multiple-choice questions on Applications of Derivatives. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

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

   1. 6x + 2
   2. 3x + 2
   3. 6x
   4. 2x
   Show answer

   Answer: A. 6x + 2

2. Determine the critical points of the function f(x) = x^4 - 4x^3 + 6x^2.

   1. x = 0, 3
   2. x = 1, 2
   3. x = 2
   4. x = 0
   Show answer

   Answer: B. x = 1, 2

3. If the concavity of f(x) changes at x = c, what can we say about f''(c)?

   1. f''(c) > 0
   2. f''(c) < 0
   3. f''(c) = 0
   4. f''(c) is always positive
   Show answer

   Answer: C. f''(c) = 0

4. If f(x) = x^2, what is the derivative f'(x) evaluated at x = 3?

   1. 3
   2. 6
   3. 9
   4. 12
   Show answer

   Answer: B. 6

5. If f(x) = e^x, what is f'(x)?

   1. e^x
   2. xe^x
   3. 1
   4. 0
   Show answer

   Answer: A. e^x

More questions in this quiz

Answers and explanations are in the full quiz.

1. If f(x) = x^2 and g(x) = 2x, what is the derivative of the product f(x)g(x)?
2. What is the equation of the tangent line to the curve y = x^2 at the point (1,1)?
3. Find the second derivative of the function f(x) = sin(x).
4. For the function f(x) = e^x, what is the nature of the function at all points based on its derivative?
5. If f(x) = ln(x), find f'(x).
6. How do you find the slope of a function at a specific point using derivatives?
7. For a function f(x) that changes concavity, what is true about f''(x)?
8. If f(x) has a local minimum at x = -1, what can be inferred about f'(-1)?
9. The function f(x) has a maximum at x = 2, what must be true about f'(2)?
10. What is the global maximum of the function f(x) = -2(x^2 - 4) over the interval [-2, 2]?
11. If the derivative f'(x) = 0 at multiple points, what can be inferred about the function?
12. If the temperature of a substance is increasing at a rate of 2 degrees per hour, what is the derivative of the temperature with respect to time?
13. Find the rate of change of the function f(x) = x^2 at x = 3.
14. What is the value of the second derivative of f(x) = 3x^3 - 12x^2 + 6 at x = 2?
15. If a function has a derivative of zero at some point, what can we infer about that point?
16. Determine the critical points of f(x) = 2x^3 - 9x^2 + 12x - 5.
17. What is the slope of the tangent line to the curve y = 2x + 1 at the point (1, 3)?
18. If f(x) = -x^3 + 3x^2 + 2, what is the critical point when f'(x) = 0?
19. A function has a negative derivative in an interval. What can be said about its graph in that interval?
20. Which of the following expressions represents the derivative of sin(x) at x = 0?
21. What is the interpretation of the derivative in real-life contexts?
22. For the function f(x) = 4x^3 + 3x^2 - 12, what is the point of inflection?
23. How do you determine if a critical point is a relative maximum or minimum?
24. For the function f(x) = x^3 + 2x^2 - x - 1, what is the inflection point?
25. The function f(x) = x^3 - 3x has how many points of inflection?
26. Evaluate the limit: lim x->0 (sin(x)/x)
27. What is the behavior of f(x) = x^2 - 4 as x approaches negative infinity?

More quizzes

• Limits and Derivatives▶ Play

Browse all Calculus quizzes

More to play