Maths 2 - Solving for X and Derivative Tests
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Questions and Answers

What is the solution for x in the first equation provided?

  • x = -3 (correct)
  • x = 1
  • x = 0
  • x = 3
  • What is the value of the second derivative of the function f(x) = -8x at any point?

  • -16
  • -8 (correct)
  • 0
  • 8
  • For the function f(x) = +3x, what can be said about its relative minimum and maximum values?

  • It only has a relative maximum value.
  • It has both a relative maximum and a minimum.
  • It has no relative minimum or maximum values. (correct)
  • It only has a relative minimum value.
  • What is the relative maximum value for the function f(x) = -24x + 5?

    <p>-24</p> Signup and view all the answers

    What is the second derivative test conclusion for the function f(x) = -8x?

    <p>The function has a local maximum.</p> Signup and view all the answers

    Study Notes

    Solving for x

    • First equation solution: X = -3
    • Second equation solution not provided
    • Third equation solution not provided

    Finding Relative Extremes Using the Second Derivative Test

    • Function f(x) = -8x
      • Relative maximum value identified: -16
    • Function f(x) = -24x + 5
      • Relative maximum value identified: -24
    • Function f(x) = 3x
      • No relative minimum or maximum values exist for this function

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    Description

    This quiz covers solving equations for x and finding relative maximum and minimum values using the second derivative test. Participants will solve for x in given equations and analyze functions for their critical points. Test your knowledge and understanding of basic calculus concepts.

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