Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x) = x 2 – 2|x|, then test the derivability of g(x) in the interval [–2, 3], where
g(x) = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
discontinuous at x = 0 and not differentiable at x = 0, 2
Sol. f(x) = 
by definition of g(x)
g(x) = 
g ′ (x) = 
clearly g(x) is discontinuous at x = 0 and not differentiable at x = 0, 2
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