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If f(x) = then
  • a)
     f is continuous but not differentiable at x = 0
  • b)
     f is differentiable at x = 0
  • c)
    f is continuous but not differentiable at x=1
  • d)
    f is differentiable at x = 1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If f(x) =thena)f is continuous but not differentiable at x = 0b)fis di...
Given that

Similarly, Lf'(0) = 0
Hence f(x) is differentiable at x = 0.
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Most Upvoted Answer
If f(x) =thena)f is continuous but not differentiable at x = 0b)fis di...
Given that

Similarly, Lf'(0) = 0
Hence f(x) is differentiable at x = 0.
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If f(x) =thena)f is continuous but not differentiable at x = 0b)fis differentiable at x = 0c)f is continuous but not differentiable at x=1d)fis differentiable at x = 1Correct answer is option 'B'. Can you explain this answer?
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