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KCET2021MathematicsApplication of Derivatives

The function f(x)=x²-2 x is strictly decreasing in the interval

Options

  1. A(- , 1)
  2. B(1, )
  3. CR
  4. D(- , )

Correct answer

A. (- , 1)

Step-by-step solution

f(x)=x²-2 x f^ (x)=2 x-2f(x) is strictly decreasing, when f^ (x) < 0 f^ (x) < 0 2(x-1) < 0 x < 1 Hence, f(x) is strictly decreasing in the interval (- , 1) .(- , 1) .

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