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Consider the following conditions
 (i) f(x) is well defined at x = a
(ii) must exist.
(iii) f(x) is continuous.
(iv) f(x) ≠ 0 at x = a
Q. which of these conditions are necessary for a function f(x) to be derivable at a point x = a of its domain?
  • a)
    I and II
  • b)
    III and IV
  • c)
    I, II and III
  • d)
    I, II and IV
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following conditions(i)f(x) is well defined at x = a(ii)m...
The necessary condition for a function f(x) to be derivable at a point x = a of its domain.
(i) f(x) is well defined at x = a
(ii) must exist.
(iv) f (x) is continuous.
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Most Upvoted Answer
Consider the following conditions(i)f(x) is well defined at x = a(ii)m...
The necessary condition for a function f(x) to be derivable at a point x = a of its domain.
(i) f(x) is well defined at x = a
(ii) must exist.
(iv) f (x) is continuous.
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Consider the following conditions(i)f(x) is well defined at x = a(ii)must exist.(iii)f(x) is continuous.(iv)f(x) ≠ 0 at x = aQ. which of these conditions are necessary for a function f(x) to be derivable at a point x = a of its domain?a)I and IIb)III and IVc)I, II and IIId)I, II and IVCorrect answer is option 'A'. Can you explain this answer?
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Consider the following conditions(i)f(x) is well defined at x = a(ii)must exist.(iii)f(x) is continuous.(iv)f(x) ≠ 0 at x = aQ. which of these conditions are necessary for a function f(x) to be derivable at a point x = a of its domain?a)I and IIb)III and IVc)I, II and IIId)I, II and IVCorrect answer is option 'A'. 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 Consider the following conditions(i)f(x) is well defined at x = a(ii)must exist.(iii)f(x) is continuous.(iv)f(x) ≠ 0 at x = aQ. which of these conditions are necessary for a function f(x) to be derivable at a point x = a of its domain?a)I and IIb)III and IVc)I, II and IIId)I, II and IVCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following conditions(i)f(x) is well defined at x = a(ii)must exist.(iii)f(x) is continuous.(iv)f(x) ≠ 0 at x = aQ. which of these conditions are necessary for a function f(x) to be derivable at a point x = a of its domain?a)I and IIb)III and IVc)I, II and IIId)I, II and IVCorrect answer is option 'A'. Can you explain this answer?.
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