Consider the polynomial: f ( x ) = 1 + 2 x + 3 x 2 + 4 x 3 . Let s be the sum of all…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Consider the polynomial:
f(x) = 1 + 2x + 3x2 + 4x3. Let s be the sum of all distinct real roots of f(x) and let t = |s|.
The function f ′(x) is
f(x) = 1 + 2x + 3x2 + 4x3. Let s be the sum of all distinct real roots of f(x) and let t = |s|.
The function f ′(x) is
- increasing in
and decreasing in 
- decreasing in
and increasing in 
- increasing in (–t, t)
- decreasing in (–t, t)
Answer
(B) decreasing in and increasing in
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