Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let a function g : [0, 4] → R be defined as

then the number of points in the interval (0,4)where g(x) is NOT differentiable, is
Text Solution
Verified by ExpertsThe correct answer is:
3
(3)
f(x) = x 3 − 6x 2 + 9x − 3
f’(x) = 3x 2 − 12x + 9 = 3(x − 1)(x − 3)
f(1) = 1f(3) = −3


g(x) is continuous

g(x) is non-differentiable at x=3
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