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B.Tech + MBA Dual Degree — free MCQ practice

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Mathematics (30)

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DerivativesEngineering MathematicsMathematics

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A line drawn through two points on a curve is called a:Read the answer and worked solution →As the second point slides toward the first, the secant lines approach the:Read the answer and worked solution →The slope of the tangent line at a point gives the function's:Read the answer and worked solution →The credit for first linking the derivative and the integral goes to Leibniz and:Read the answer and worked solution →

Worked practice questions

A line drawn through two points on a curve is called a:

  1. Secant line
  2. Second line
  3. Sector line
  4. Segment line
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Correct answer: A. Secant line

1. It cuts the curve at two places. 2. Its slope estimates a rate of change. 3. That line is a secant line. _Source: OpenStax Calculus Volume 1, Chapter 3, Derivatives._

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As the second point slides toward the first, the secant lines approach the:

  1. Turning line
  2. Tangent line
  3. Tandem line
  4. Tunnel line
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Correct answer: B. Tangent line

1. The two points merge into one. 2. The limiting line touches at a point. 3. That line is the tangent line. _Source: OpenStax Calculus Volume 1, Chapter 3, Derivatives._

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The slope of the tangent line at a point gives the function's:

  1. Rate of change
  2. Range of choice
  3. Rank of chance
  4. Round of charts
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Correct answer: A. Rate of change

1. Steeper tangent means faster change. 2. It is measured at a single point. 3. That is the rate of change. _Source: OpenStax Calculus Volume 1, Chapter 3, Derivatives._

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