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PASSAGE - 4
f (x) = 1 + 2x + 3x2 + 4x3.
Let s be the sum of all distinct real roots of f (x) and let t = |s|.
Q. The function f'(x) is
  • a)
    increasing in  and decreasing in
  • b)
    decreasing in  and increasing in 
  • c)
    increasing in (–t, t)
  • d)
    decreasing in (–t, t)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
PASSAGE - 4 f (x) = 1 + 2x + 3x2 + 4x3.Let s be the sum of all distinc...
f '(x) = 2(6x2 + 3x+ 1)
f ''(x) = 6 4x+ 1) ⇒ Critical point x = – 14

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PASSAGE - 4 f (x) = 1 + 2x + 3x2 + 4x3.Let s be the sum of all distinct real roots of f (x) and let t = |s|.Q.The function f'(x) isa)increasing in and decreasing inb)decreasing inand increasing inc)increasing in (–t, t)d)decreasing in (–t, t)Correct answer is option 'B'. Can you explain this answer?
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PASSAGE - 4 f (x) = 1 + 2x + 3x2 + 4x3.Let s be the sum of all distinct real roots of f (x) and let t = |s|.Q.The function f'(x) isa)increasing in and decreasing inb)decreasing inand increasing inc)increasing in (–t, t)d)decreasing in (–t, t)Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about PASSAGE - 4 f (x) = 1 + 2x + 3x2 + 4x3.Let s be the sum of all distinct real roots of f (x) and let t = |s|.Q.The function f'(x) isa)increasing in and decreasing inb)decreasing inand increasing inc)increasing in (–t, t)d)decreasing in (–t, t)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PASSAGE - 4 f (x) = 1 + 2x + 3x2 + 4x3.Let s be the sum of all distinct real roots of f (x) and let t = |s|.Q.The function f'(x) isa)increasing in and decreasing inb)decreasing inand increasing inc)increasing in (–t, t)d)decreasing in (–t, t)Correct answer is option 'B'. Can you explain this answer?.
Solutions for PASSAGE - 4 f (x) = 1 + 2x + 3x2 + 4x3.Let s be the sum of all distinct real roots of f (x) and let t = |s|.Q.The function f'(x) isa)increasing in and decreasing inb)decreasing inand increasing inc)increasing in (–t, t)d)decreasing in (–t, t)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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