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Determine all the critical points for th...

Determine all the critical points for the function `f(x)=6x^(5)+33x^(4)-30x^(3)+100`

Text Solution

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The correct Answer is:
`-5,0(3)/(5)`
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Knowledge Check

  • Critical points of the function f(x)= (x-3)^(2//3)(3x-1)

    A
    `(31)/(15),1`
    B
    `(31)/(15),3`
    C
    `(31)/(15),0`
    D
    none of these

  • The critical points of the function f(x) = (x +2)^(2//3) (2x-1) are

    A
    `-1 and 2`
    B
    1
    C
    `1 and -1//2`
    D
    `-1 and -2`

  • The critical points of the function y = (3)/(2)x^(4) - 4x^(3) - 45x^(2) + 51 are :

    A
    `-5, -3, 0`
    B
    0, 3, 5
    C
    `-5, 0, 3`
    D
    `-3, 0, 5`

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    Find the critical points of the function f(x) =4x^(3)-6x^(2) -24x+9 " if f(i) x in [0,3] (ii) x in [-3,3] (iii) x in [-1,2]

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