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NDA2018MathematicsApplication of DerivativesActual

In which one of the following intervals is the function f(x)=x^2-5 x+6 decreasing?

Options

  1. A(- , 2]
  2. B[3, ]
  3. C(- , )
  4. D(2,3)

Correct answer

A. (- , 2]

Step-by-step solution

aligned & f(x)=x^2-5 x+6 & f^ (x)=2 x-5 & f^ (x) 0 & 2 x-5 0 x 5 2 aligned Hence, f(x) is decreasing in (- , 2.5]

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