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MHT CET202314 May 2023Morning ShiftMathematicsApplication of DerivativesActual

Let f (x)= x^2-3 x+2 x^4+1 ~d x , then function decreases in the interval

Options

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

Correct answer

C. (1,2)

Step-by-step solution

aligned & f (x)= x^2-3 x+2 x^4+1 ~d x & f ^ (x)= x^2-3 x+2 x^4+1 aligned For f (x) to be decreasing, aligned & f ^ (x) < 0 & x^2-3 x+2 x^4+1 < 0 & (x-1)(x-2) x^4+1 < 0 & (x-1)(x-2) < 0 & x (1,2) aligned

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