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mskyeg

  • 2 years ago

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

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  1. mskyeg
    • 2 years ago
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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).

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

  3. Dido525
    • 2 years ago
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    So take the derivative.

  4. campbell_st
    • 2 years ago
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    do you know how to differentiate..?

  5. Dido525
    • 2 years ago
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    Set it equal to zero.

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

  7. campbell_st
    • 2 years ago
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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

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

  9. Dido525
    • 2 years ago
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    Or a graphing calculator will do nicely...

  10. mskyeg
    • 2 years ago
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    I don't know how to do that....

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

  12. campbell_st
    • 2 years ago
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    ok... do you have a graphing package...?

  13. mskyeg
    • 2 years ago
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    no i don't

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

  15. mskyeg
    • 2 years ago
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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

  16. campbell_st
    • 2 years ago
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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...

  17. mskyeg
    • 2 years ago
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    Thanks so much:)

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