Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If f(x) = 
is differentiable at x = 1 then a 3 + b 3 =
Text Solution
Verified by ExpertsThe correct answer is:
7
(7)
Sol. 
f(1) = 1
a sgn (x +1) cos2(x–1) + bx 2 = a.1.1+ b
for continuity a + b = 1
LHD (x = 1) is 
= 
= 2 + 0 + 2 = 4
RHD (x = 1) is 
= 
= 
= 2b
f(x) is differentiable at x = 1 if 2b = 4 b = 2 a = –1
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