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onegirl

  • 3 years ago

Find all critical numbers by hand. If available, use graphing technology to determine whether the critical number represents a local maximum, local minimum, or neither. f(x) = x^4 - 3x^3 + 2

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  1. onegirl
    • 3 years ago
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    @rajathsbhat can u help?

  2. rajathsbhat
    • 3 years ago
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    not too sure about this :\

  3. onegirl
    • 3 years ago
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    ok

  4. onegirl
    • 3 years ago
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    @electrokid can u help?

  5. tomatooooo
    • 3 years ago
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    are you allowed to use calculus for this? or algebra 2?

  6. modphysnoob
    • 3 years ago
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    take derivative

  7. onegirl
    • 3 years ago
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    okay the derivative is x^2(4x - 9)

  8. onegirl
    • 3 years ago
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    or 4x^3 - 9x^2

  9. modphysnoob
    • 3 years ago
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    set that equal to 0 and solve for x

  10. onegirl
    • 3 years ago
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    okay

  11. onegirl
    • 3 years ago
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    i get 0 and 9/4

  12. modphysnoob
    • 3 years ago
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    that's your criticle number

  13. onegirl
    • 3 years ago
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    okay so thats it?

  14. onegirl
    • 3 years ago
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    how do i determine whether it is local maximum, minimum or either

  15. onegirl
    • 3 years ago
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    neither*

  16. modphysnoob
    • 3 years ago
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    1)Plug in Crit point into F''(t); positive number mean min, negative number mean max

  17. onegirl
    • 3 years ago
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    okay thanks

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