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JEE Advanced2010MathematicsApplication of DerivativesActual

Paragraph: Consider the polynomial f(x)=1+2 x+3 x^2+4 x^3 . Let s be the sum of all distinct real roots of f(x) and let t=|s| . Question: The function f^ (x) is

Options

  1. Aincreasing in (-t,- 1 4 ) and decreasing in (- 1 4 , t )
  2. Bdecreasing in (-t,- 1 4 ) and increasing in (- 1 4 , t )
  3. Cincreasing in (-t, t)
  4. Ddecreasing in (-t, t)

Correct answer

B. decreasing in (-t,- 1 4 ) and increasing in (- 1 4 , t )

Step-by-step solution

Figure is self explanatory

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