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Indian Navy 10+2 B.Tech Cadet Limits and Derivatives — practice questions

Explore 3 free Limits and Derivatives questions in Indian Navy 10+2 B.Tech Cadet Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Limits and Derivatives questions and exercises with answers

Showing questions 1–3 of 3.

Worked practice questions

If $f(x)=x^2+3x$, then $f'(x)$ equals:

  1. $2x$
  2. $2x+3x$
  3. $2x+3$
  4. $x+3$
Show answer and solution

Correct answer: C. $2x+3$

Differentiate term by term: d/dx(x²+3x) = 2x + 3.

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Key in the limit

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Questions
  1. Answer
    9
    Question
    What is the limit of x squared as x tends to 3?
  2. Answer
    4
    Question
    What is the derivative of x squared at x = 2?
  3. Answer
    0
    Question
    What is the derivative of any constant?
  4. Answer
    3
    Question
    What is the derivative of x cubed at x = 1?
Instructions
Work out each answer and key it in on the pad.
_Source: syllabus Maths Ch12 Limits and Derivatives, LIMITS AND DERIVATIVES_

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Which one does NOT belong?

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Questions
  1. Items
    1. Cartesian product
    2. Limit
    3. Derivative
    4. Rate of change
    Reason
    Cartesian product belongs to set theory. The other three are calculus ideas.
    Odd item
    Cartesian product
  2. Items
    1. Left hand limit
    2. Common difference
    3. Right hand limit
    4. Two-sided limit
    Reason
    Common difference belongs to arithmetic progressions, not to limits.
    Odd item
    Common difference
Instructions
Tap the item that does not belong with the rest.
_Source: syllabus Maths Ch12 Limits and Derivatives, LIMITS AND DERIVATIVES_

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