Critical Points and Second Derivative Test Quiz

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Questions and Answers

What are the critical points of a function used to find?

  • Concavity
  • Maximum and minimum values (correct)
  • Slope
  • Inflection points

In which scenario does a function have no global maximum or minimum?

  • When the first derivative is always zero
  • When the first derivative is always positive
  • When the first derivative has both positive and negative values (correct)
  • When the first derivative is always negative

What does the second derivative test help determine for a function?

  • Slope of tangent lines
  • Concavity
  • Inflection points (correct)
  • Critical points

What is the primary purpose of finding the critical points of a function?

<p>Identifying potential maximum and minimum values (B)</p> Signup and view all the answers

In which scenario would a function have no global maximum or minimum?

<p>The function is unbounded on its domain (A)</p> Signup and view all the answers

What does the second derivative test help determine for a function?

<p>Local maximum and minimum values (A)</p> Signup and view all the answers

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Study Notes

maxima and minima maths question relation and function

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