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mskyeg

What is the relative maximum and minimum of the function? f(x)= x^3 + 2x^2 – 18x

  • one year ago
  • one year ago

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  1. mskyeg
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    Possible answers: The relative maximum is at (3, 22), and the relative minimum is at (–2, –41). The relative maximum is at (–3, 41), and the relative minimum is at (2, –22). The relative maximum is at (3, 41), and the relative minimum is at (–2, –22). The relative maximum is at (–3, 22), and the relative minimum is at (2, –41).

    • one year ago
  2. mskyeg
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    I keep getting told what to do but i don't know how to do it

    • one year ago
  3. Dido525
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    So take the derivative.

    • one year ago
  4. campbell_st
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    do you know how to differentiate..?

    • one year ago
  5. Dido525
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    Set it equal to zero.

    • one year ago
  6. Dido525
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    I am assuming if he is doing this he can differentiate :O .

    • one year ago
  7. campbell_st
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    you will need the 1st and 2nd derivatives 1st derivative = 0 gives the stationary points 2nd derivative is used to determine the nature of the stationary points

    • one year ago
  8. campbell_st
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    it thats to difficult, just find a graphing package and graph the curve like geogebra http://www.geogebra.org/cms/

    • one year ago
  9. Dido525
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    Or a graphing calculator will do nicely...

    • one year ago
  10. mskyeg
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    I don't know how to do that....

    • one year ago
  11. Dido525
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    No calculus experience? Look like you have to use a calculator or a graphing program like @campbell_st said.

    • one year ago
  12. campbell_st
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    ok... do you have a graphing package...?

    • one year ago
  13. mskyeg
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    no i don't

    • one year ago
  14. campbell_st
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    ok... here is an alternative/... can you factorise the polynomial..?

    • one year ago
  15. mskyeg
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    um can you just show me the steps or something....I have a textbook and the instructions aren't the issue its my ability to apply it to this problem

    • one year ago
  16. campbell_st
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    ok... here is the easiest solution, use the table of values below,..... |dw:1352186589941:dw| substitute each x value into the graph... the largest positive y value will be the relative maximum and the largest negative y value will be the relative minimum. when you have done that, you'll find ordered pairs that match your choices...

    • one year ago
  17. mskyeg
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    Thanks so much:)

    • one year ago
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