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Consider the given function:
f(x) = |x - 3| + |x| + |x + 3|
The function is
  • a)
    Not differentiable only at x = -3, 0, 3
  • b)
    Differentiable at x = -3, 0, 3
  • c)
    not differentiable only at x = -3, 3
  • d)
    Differentiable at x = -3, 3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the given function:f(x) = |x - 3| + |x| + |x + 3|The function...
Consider the graph of the above function.

Therefore,
the function is not differentiable at x = -3, 0, 3.
Hence, this is the required solution.
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Consider the given function:f(x) = |x - 3| + |x| + |x + 3|The function isa)Not differentiable only at x = -3, 0, 3b)Differentiable at x = -3, 0, 3c)not differentiable only at x = -3, 3d)Differentiable at x = -3, 3Correct answer is option 'A'. Can you explain this answer?
Question Description
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