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CGP EDU Academic Team
Published on: August 12, 2026
If the function f(x) = |x 2 + a |x| + b| has exactly three points of non-differentiability, then which of the following may hold
Text Solution
Verified by ExpertsThe correct answer is:
A
b = 0 , a < 0
f(x) = x 2 + ax + b is quadratic polynomial cut x axis at x = 0 and x = – a
f(x) = x 2 + ax + b
f (| x |) = x 2 + a |x| + b
| f|x| = | x 2 + a |x| + b|
Exactly at three points function is not differentiable.
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