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L et f : R2 —> R be defined by
Then,
Then,
- a)f is not continuous at (0, 0)
- b)f is continuous at (0, 0) as well as differentiable at (0,0)
- c)f is differentiable only at (0, 0)
- d)f is differentiable everywhere
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
L et f : R2 —> R be defined byThen,a)f is not continuous at (...
We have,
But f(0 , 0) = 0
Hence,
implies f(x, y) is continuous at (0, 0) Now,
where A = 0, B = 0 which does not depends on h and k and
Hence, y(x, y) is continuous as well as differentiable at (0, 0).
But f(0 , 0) = 0Hence,
implies f(x, y) is continuous at (0, 0) Now,
where A = 0, B = 0 which does not depends on h and k andHence, y(x, y) is continuous as well as differentiable at (0, 0).
Most Upvoted Answer
L et f : R2 —> R be defined byThen,a)f is not continuous at (...
We have,
But f(0 , 0) = 0
Hence,
implies f(x, y) is continuous at (0, 0) Now,
where A = 0, B = 0 which does not depends on h and k and
Hence, y(x, y) is continuous as well as differentiable at (0, 0).
But f(0 , 0) = 0Hence,
implies f(x, y) is continuous at (0, 0) Now,
where A = 0, B = 0 which does not depends on h and k andHence, y(x, y) is continuous as well as differentiable at (0, 0).
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L et f : R2 —> R be defined byThen,a)f is not continuous at (0, 0)b)f is continuous at (0, 0) as well as differentiable at (0,0)c)f is differentiable only at (0, 0)d)f is differentiable everywhereCorrect answer is option 'B'. Can you explain this answer?
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L et f : R2 —> R be defined byThen,a)f is not continuous at (0, 0)b)f is continuous at (0, 0) as well as differentiable at (0,0)c)f is differentiable only at (0, 0)d)f is differentiable everywhereCorrect answer is option 'B'. 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 L et f : R2 —> R be defined byThen,a)f is not continuous at (0, 0)b)f is continuous at (0, 0) as well as differentiable at (0,0)c)f is differentiable only at (0, 0)d)f is differentiable everywhereCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L et f : R2 —> R be defined byThen,a)f is not continuous at (0, 0)b)f is continuous at (0, 0) as well as differentiable at (0,0)c)f is differentiable only at (0, 0)d)f is differentiable everywhereCorrect answer is option 'B'. Can you explain this answer?.
L et f : R2 —> R be defined byThen,a)f is not continuous at (0, 0)b)f is continuous at (0, 0) as well as differentiable at (0,0)c)f is differentiable only at (0, 0)d)f is differentiable everywhereCorrect answer is option 'B'. 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 L et f : R2 —> R be defined byThen,a)f is not continuous at (0, 0)b)f is continuous at (0, 0) as well as differentiable at (0,0)c)f is differentiable only at (0, 0)d)f is differentiable everywhereCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L et f : R2 —> R be defined byThen,a)f is not continuous at (0, 0)b)f is continuous at (0, 0) as well as differentiable at (0,0)c)f is differentiable only at (0, 0)d)f is differentiable everywhereCorrect answer is option 'B'. Can you explain this answer?.
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