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Let . Then
  • a)
    f(x) is not continuous at x=2
  • b)
    f(x) is continuous but not differentiable at x=2
  • c)
    f(x) is differentiable everywhere
  • d)
    The right derivative of f(x) at x = 2 does not exist
Correct answer is option 'B,D'. Can you explain this answer?
Most Upvoted Answer
Let. Thena)f(x) is not continuous at x=2b)f(x) is continuous but not d...
Continuous at x = 2
f(2) = 5·2 +1=11
also 
and 
Note that
So 
So f (x) is not continuous at x = 2 hence. fix) is not differentiable at x=2
R.H.D of f(x) atx = 2, is
hence the right derivative of fix) at x =2 does not exist.
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Let. Thena)f(x) is not continuous at x=2b)f(x) is continuous but not differentiable at x=2c)f(x) is differentiable everywhered)The right derivative of f(x) at x = 2 does not existCorrect answer is option 'B,D'. Can you explain this answer?
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Let. Thena)f(x) is not continuous at x=2b)f(x) is continuous but not differentiable at x=2c)f(x) is differentiable everywhered)The right derivative of f(x) at x = 2 does not existCorrect answer is option 'B,D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let. Thena)f(x) is not continuous at x=2b)f(x) is continuous but not differentiable at x=2c)f(x) is differentiable everywhered)The right derivative of f(x) at x = 2 does not existCorrect answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let. Thena)f(x) is not continuous at x=2b)f(x) is continuous but not differentiable at x=2c)f(x) is differentiable everywhered)The right derivative of f(x) at x = 2 does not existCorrect answer is option 'B,D'. Can you explain this answer?.
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