Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  Iff(x) = x3 − 3x − 1is continuous... Start Learning for Free
If f(x) = x3 − 3x − 1 is continuous in the closed interval and f’(x) exists in the open interval  then find the value of 'c' such that it lies in ?




  • a)
    -1

  • b)
    0

  • c)
    1

  • d)
    ±1

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Iff(x) = x3 − 3x − 1is continuous in the closed intervalan...
Since given function is continuous and differentiable then by Lagrange’s Mean-Value Theorem.
3c2 - 3 = 0
c2 = 1
∴ c = ±1
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer?
Question Description
Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer?.
Solutions for Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Iff(x) = x3 − 3x − 1is continuous in the closed intervaland f’(x) exists in the open intervalthen find the value of c such that it lies in?a)-1b)0c)1d)±1Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev