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In the interval (0, 1), f(x) = x^(2) – x...

In the interval `(0, 1), f(x) = x^(2) – x + 1` is -

A

monotonic

B

not monotonic

C

decreasing

D

increasing

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • In the interval (-1, 1), the function f(x) = x^(2) - x + 4 is :

    A
    increasing
    B
    decreasing
    C
    neither increasing nor decreasing
    D
    None of the above

  • Let f(x) be differentiable on the interval (0, oo) such that f(1)=1 and lim_(t to x) (t^(2)f(x) -x^(2) f(t))/(t-x)=1 for each x gt 0 . Then f(x) is

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