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.

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
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   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
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   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
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   Answer: B. 6

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

   1. e^x
   2. xe^x
   3. 1
   4. 0
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   Answer: A. e^x

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