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Let f be a differentiable function from R to R such that `|f(x) - f(y) | le 2|x-y|^(3/2)," for all " x, y in R. "If " f (0) = 1, " then" _(0)^(1) int f^(2) (x) ` dx is equal to

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Knowledge Check

  • f:R to R be such that |f(x)-f(y)|le |x-y|^(3) for all x, y in R then the value of f'(x) is

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    B
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    D
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    A
    `f(2) gt 7`
    B
    `f(2) le 7`
    C
    `f(2) gt 8`
    D
    `f(2) = 8`
  • Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,

    A
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    B
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