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MHT CET20227 Aug 2022Morning ShiftMathematicsApplication of DerivativesActual

The function f(x)=2 x^3-9 x^2+12 x+29 is monotonically increasing in the interval

Options

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

Correct answer

A. (- , 1) (2, )

Step-by-step solution

f(x)=2 x^3-9 x^2+12 x+29 f^ (x)=6 x^2-18 x+12=6(x-1)(x-2) sign scheme f(x) is increasing in the interval x ( -, 1) (2, )

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