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Find the local maximum value of the func...

Find the local maximum value of the function `g(x)=x^3-3x`

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Find the absolute maximum value and the absolute minimum value of the functions f(x)=sinx+cosx,x in [0,pi] .

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Knowledge Check

  • The function f(x)=x^(3)-3x is :

    A
    increasing in `(-oo, -1)cup [1, oo)` and decreasing in (-1, 1)
    B
    decreasing in `(-oo, -1) cup [1, oo)` and increasing in (-1, 1)
    C
    increasing in `(0, oo)` and decreasing in `(-oo, 0)`
    D
    decreasing in `(0, oo)` and increasing in `(-oo, 0)`.

  • The local minimum value of the function f' given by f(x)=3+|x|, x in R is

    A
    -1
    B
    3
    C
    1
    D
    0

  • The local minimum value of the function f' given by f(x) = 3 + |x|, x in R is

    A
    `-1`
    B
    3
    C
    1
    D
    0

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