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When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such that
- a)c ε [a, b] such that f'(c) = 0
- b)c ε (a, b) such that f'(c) = 0
- c)c ε (a, b] such that f'(c) = 0
- d)c ε [a, b) such that f'(c) = 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
When Rolle’s Theorem is verified for f(x) on [a, b] then there e...
Answer is
B) c ∈ (a, b) such that f'(c) = 0.
Statement for Rolle’s Theorem :
Suppose that a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Then if f(a)=f(b), then there exists at least one point c in the open interval (a,b) for which f′(c)=0.
B) c ∈ (a, b) such that f'(c) = 0.
Statement for Rolle’s Theorem :
Suppose that a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Then if f(a)=f(b), then there exists at least one point c in the open interval (a,b) for which f′(c)=0.
Most Upvoted Answer
When Rolle’s Theorem is verified for f(x) on [a, b] then there e...
Answer is
B) c ∈ (a, b) such that f'(c) = 0.
Statement for Rolle’s Theorem :
Suppose that a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Then if f(a)=f(b), then there exists at least one point c in the open interval (a,b) for which f′(c)=0.
B) c ∈ (a, b) such that f'(c) = 0.
Statement for Rolle’s Theorem :
Suppose that a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Then if f(a)=f(b), then there exists at least one point c in the open interval (a,b) for which f′(c)=0.
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Community Answer
When Rolle’s Theorem is verified for f(x) on [a, b] then there e...
Answer is
B) c ∈ (a, b) such that f'(c) = 0.
Statement for Rolle’s Theorem :
Suppose that a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Then if f(a)=f(b), then there exists at least one point c in the open interval (a,b) for which f′(c)=0.
B) c ∈ (a, b) such that f'(c) = 0.
Statement for Rolle’s Theorem :
Suppose that a function f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Then if f(a)=f(b), then there exists at least one point c in the open interval (a,b) for which f′(c)=0.
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When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer?
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When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer?.
When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer?.
Solutions for When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of When Rolle’s Theorem is verified for f(x) on [a, b] then there exists c such thata)c ε [a, b] such that f'(c) = 0b)c ε (a, b) such that f'(c) = 0c)c ε (a, b] such that f'(c) = 0d)c ε [a, b) such that f'(c) = 0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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