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  a continuous function and let g :  R → R be defined as
  • a)
    g(x) is continuous but not differentiable at a
  • b)
    g(x) is differentiable on R
  • c)
    g(x) is continuous but not differentiable at b
  • d)
    g(x) is continuous and differentiable at either (a) or (b) but not both
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
a continuous function and let g : R → R be defined asa)g(x) is co...
g(x) may be discontinuous at x = a or x = b.
Let us check the continuity of g(x) at x = a and x = b

∴ g (x) is continuous at x = a



∴ g is not differentiable at a and b
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a continuous function and let g : R → R be defined asa)g(x) is continuous but not differentiable at ab)g(x) is differentiable on Rc)g(x) is continuous but not differentiable at bd)g(x) is continuous and differentiable at either (a) or (b) but not bothCorrect answer is option 'A,C'. Can you explain this answer?
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a continuous function and let g : R → R be defined asa)g(x) is continuous but not differentiable at ab)g(x) is differentiable on Rc)g(x) is continuous but not differentiable at bd)g(x) is continuous and differentiable at either (a) or (b) but not bothCorrect answer is option 'A,C'. 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 a continuous function and let g : R → R be defined asa)g(x) is continuous but not differentiable at ab)g(x) is differentiable on Rc)g(x) is continuous but not differentiable at bd)g(x) is continuous and differentiable at either (a) or (b) but not bothCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a continuous function and let g : R → R be defined asa)g(x) is continuous but not differentiable at ab)g(x) is differentiable on Rc)g(x) is continuous but not differentiable at bd)g(x) is continuous and differentiable at either (a) or (b) but not bothCorrect answer is option 'A,C'. Can you explain this answer?.
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