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MHT CET20249 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The function f (x)=2 x^3-6 x+5 is an increasing function, if

Options

  1. A0 x 1
  2. B-1 x 1
  3. Cx -1 or x 1
  4. D-1 x - 1 2

Correct answer

C. x -1 or x 1

Step-by-step solution

aligned & f(x)=2 x^3-6 x+5 & f^ (x)=6 x^2-6 aligned For f (x) to be increasing, f ^ (x) 0 aligned & 6 x^2-6 0 (x-1)(x+1) 0 & x 1 or x -1 aligned

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