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Find the extreme points of f(x) = 3x^4-4...

Find the extreme points of `f(x) = 3x^4-4x^3+1` and state whether the function has local maxima and local minima at those points.

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Find the stationary points of f(x)=3x^(4)-4x^(3)+1, AAxepsilonR and state whether the function has local maxima or local minima at those points.

Find all the points of (local) maxima and (local) minima of the function x^3-4x

Knowledge Check

  • The function f(x) =x/2+2/x has a local minimum at

    A
    x=0
    B
    x=1
    C
    x=2
    D
    x=-2

  • The stationary point of 3x^4-4x^3+1 is

    A
    (1,0)
    B
    (1,29)
    C
    (1,1)
    D
    none

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