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mathcalculus

  • 3 years ago

where is everyone?!? help please! =( find the extrema: 4x^3-13x^2+4x+1 max and min: [1,4] [0,2]

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  1. mathcalculus
    • 3 years ago
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    i put the answer: [1,4] max=65 min= -11 and for [0,2] max= 196 min= -11 what's wrong with the answer?

  2. mathcalculus
    • 3 years ago
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    i found the derivative..12x^2-26x+4

  3. mathcalculus
    • 3 years ago
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    then i factored: and got the critical points: x=1/6 and x=2

  4. mathcalculus
    • 3 years ago
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    then i evaluated f at each critical number

  5. mathcalculus
    • 3 years ago
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    and then evaluated f at each endpoints

  6. mathcalculus
    • 3 years ago
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    left point: critical points: Right point: f(1) -4 f(1/6)= 1.32407 f(4)= 65 f(0)=1 f(2)= -11 f(5)= 196

  7. mathcalculus
    • 3 years ago
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    now can anyone tell me what i did wrong with the answer? [1,4] max=65 min= -11 [0,2] max= 196 min= -11

  8. mathcalculus
    • 3 years ago
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    @hartnn :(

  9. mathcalculus
    • 3 years ago
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    @dan815

  10. mathcalculus
    • 3 years ago
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    @wio

  11. dan815
    • 3 years ago
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    iam here

  12. hartnn
    • 3 years ago
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    why you took f(5) ?

  13. hartnn
    • 3 years ago
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    range is [0,2] right ?

  14. mathcalculus
    • 3 years ago
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    sorry everyone.... hehe

  15. hartnn
    • 3 years ago
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    so for for [0,2] max= 1min= -11

  16. dan815
    • 3 years ago
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    i see nothing else wrong besides f(5)

  17. mathcalculus
    • 3 years ago
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    |dw:1363331661154:dw|

  18. dan815
    • 3 years ago
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    |dw:1363331762488:dw|

  19. dan815
    • 3 years ago
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    |dw:1363331811355:dw|

  20. mathcalculus
    • 3 years ago
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    |dw:1363331917359:dw|

  21. dumbcow
    • 3 years ago
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    hmm, critical points are x=1/6, 2 so local max/min are f(1/6) and f(2) max = f(1/6) = 1.3 min = f(2) = -11

  22. dan815
    • 3 years ago
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    |dw:1363331991812:dw|

  23. dan815
    • 3 years ago
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    u got one of those stupid owls

  24. dan815
    • 3 years ago
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    raised by bats

  25. mathcalculus
    • 3 years ago
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    ?

  26. mathcalculus
    • 3 years ago
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    |dw:1363332131809:dw|

  27. dan815
    • 3 years ago
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    thankyou for becoming my fan :D

  28. dan815
    • 3 years ago
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    as a gift id like to tell you the name of God is JESUS treasure it

  29. mathcalculus
    • 3 years ago
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    yup, i appreciate all the help.

  30. mathcalculus
    • 3 years ago
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    okay.....

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