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open_study1

  • 2 years ago

The function x^5 -5x^4 +5x^3 +10 has only a maximum only minimum both maximum and minimum

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  1. UnkleRhaukus
    • 2 years ago
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    the highest order term is \(x^5\) it will effect the over all shape of the graph

  2. open_study1
    • 2 years ago
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    Plz DON T SOLVE THIS BY GRAPH....ANY OTHER METHOD...

  3. UnkleRhaukus
    • 2 years ago
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    the order of \(x^5\) is 5 which is an odd number, odd ordered functions

  4. dpaInc
    • 2 years ago
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    i'm thinking you mean local maximum and local minimum because the end behaviour of this function is they go to plus/minus infinity.

  5. Aadarsh
    • 2 years ago
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    Find f'(x). Equate it to zero. Find f''(x). Substitute the values of f'(x) in f''(x), see whether it is negative or positive. If negative, local maximum and if positive, local minimum.

  6. Aadarsh
    • 2 years ago
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    @apoorvk , @srinidhijha bhai, please say whether I am correct or not.

  7. open_study1
    • 2 years ago
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    I THINK U R CORRECT BUT HOW TO FIND F(X)

  8. open_study1
    • 2 years ago
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    @FoolForMath

  9. Aadarsh
    • 2 years ago
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    U know differentiation or not @open_study1 ?

  10. ajprincess
    • 2 years ago
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    f(x)= x^5 -5x^4 +5x^3 +10 f'(x)=differentiation of f(x).

  11. open_study1
    • 2 years ago
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    YES

  12. open_study1
    • 2 years ago
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    AFTER DIFERNTIATION WE HAVE TO EQUATE THAT TO 0 IS IT????

  13. ajprincess
    • 2 years ago
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    ya.

  14. open_study1
    • 2 years ago
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    SO IT WILL BE IN X^4 TERMS SO HOW WILL WE SOLVE THAT???

  15. ajprincess
    • 2 years ago
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    Yup. bt u will b abl to factorise it.

  16. open_study1
    • 2 years ago
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    x^4-4X^3+3X^2+10=0

  17. open_study1
    • 2 years ago
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    @ajprincess HOW TO FACTORISE LOL

  18. ajprincess
    • 2 years ago
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    Vat do u get ven u differentiate a number?

  19. open_study1
    • 2 years ago
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    5X^4-20X^3+15X^2+10

  20. cinar
    • 2 years ago
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    it is wrong..

  21. cinar
    • 2 years ago
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    x^4-4x^3+3x^2

  22. open_study1
    • 2 years ago
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    SORRY MOT 10 IT IS 0

  23. open_study1
    • 2 years ago
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    x^4-4X^3+3X^2=0

  24. ajprincess
    • 2 years ago
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    Nw can u factorise it?

  25. cinar
    • 2 years ago
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    http://www.wolframalpha.com/input/?i=x^4-4x^3%2B3x^2%3D0

  26. cinar
    • 2 years ago
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    \[\Large f''(x)=4x^3-15x^2+6x\]

  27. anusha.p
    • 2 years ago
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    let it be f(x) differentiate wrt x.........and equate to zero solve for x value again diferrentiate the differentiated one and substitute the x value...... if u get positve value,it has minima and vice-versa

  28. open_study1
    • 2 years ago
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    OK X=0 X= 1 X=3 THEN

  29. open_study1
    • 2 years ago
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    @anusha.p CAN U SHOW IT

  30. cinar
    • 2 years ago
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    find \[\Large f''(0) \quad f''(1)\quad and \quad f''(3)\]

  31. open_study1
    • 2 years ago
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    OK THEN

  32. cinar
    • 2 years ago
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    The function has a minimum value at x = a if f '(a) = 0 and f ''(a) = a positive number. The function has a maximum value at x = a if f '(a) = 0 and f ''(a) = a negative number.

  33. open_study1
    • 2 years ago
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    THAZZZ

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