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Consider the following statements: 
  1. The function f(x) = |x|  is not differentiable at x=1
  2. The function f(x) = ex is not differentiable at x =0.
which of the above statements is/are correct ?
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following statements: The function f(x) = |x| is not diff...
Statement I : f(x) = |x|

from the graph , the curve has sharp turn at x =0
Therefore ,the function f(x) = |x| is not differentiable only 
x=0, it is differentiable at x = 1
statement2:f(x) = ex

Therefore f(x) = ex  is differentiable at x =1.
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Consider the following statements: The function f(x) = |x| is not differentiable at x=1 The function f(x) = exis not differentiable at x =0.which of the above statements is/are correct ?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer?
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