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Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer?.

Solutions for Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.

Here you can find the meaning of Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following statement(s) is/are correct?a)If the function f(x,y) is continuous at the point (a, b), it must also be differentiable at (a, b)b)If a function f(x,y) is differentiable at (a,b), it must be continuous at (a, b)c)If a function f(x, y) possesses both the partial derivatives fx(a, b) and fy(a,b) it must be differentiable at (a, b)d)If fxy and fyxare both continuous at (a, b), then fxy(a, b) ≠ fyx(a, b)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice IIT JAM tests.