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B.Tech + MBA Dual Degree Derivatives — practice questions

Explore 30 free Derivatives questions in B.Tech + MBA Dual Degree Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Derivatives questions and exercises with answers

Showing questions 1–30 of 30.

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 →If a function is differentiable at a point, it must also be:Read the answer and worked solution →If a function is not continuous at a point, then at that point it cannot be:Read the answer and worked solution →A function that is continuous at a point may still fail to be:Read the answer and worked solution →A sharp corner breaks differentiability because the secant slopes keep changing:Read the answer and worked solution →Differentiating a derivative once more produces the:Read the answer and worked solution →Derivatives beyond the first are collectively called:Read the answer and worked solution →The rule giving the derivative of x raised to a positive integer power is the:Read the answer and worked solution →The derivative of a product is NOT simply the product of the derivatives. The correct method is the:Read the answer and worked solution →The rule used to differentiate one function divided by another is the:Read the answer and worked solution →The quotient rule is used to extend the power rule to exponents that are:Read the answer and worked solution →Derivatives of sums, differences and constant multiples come from which set of rules?Read the answer and worked solution →The slope of a secant line between two times gives which kind of velocity?Read the answer and worked solution →The slope of the tangent line at one moment gives which kind of velocity?Read the answer and worked solution →One way to estimate instantaneous velocity is to build a table of:Read the answer and worked solution →In business applications, the derivative of the cost function is called the:Read the answer and worked solution →Derivatives of the other four trigonometric functions are found with the quotient rule because they are:Read the answer and worked solution →For a car to move smoothly along a track, the height function must be differentiable and:Read the answer and worked solution →Two different expressions can be used to compute the slope of a:Read the answer and worked solution →Catch the derivative rulesRead the answer and worked solution →Pop the tangent ideasRead the answer and worked solution →Run the calculus gatesRead the answer and worked solution →Slice the calculus wordsRead the answer and worked solution →Over an interval or at a pointRead the answer and worked solution →Sort the calculus ideasRead the answer and worked solution →Type the numberRead the answer and worked solution →Derivatives bingoRead 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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