Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f (x) = 
is differentiable in [0 , 2] , then the value of [a + b + 6] is (Here [ . ] stands for the greatest integer function)
Text Solution
Verified by ExpertsThe correct answer is:
4
(4)
Sol. Differentiability at x = 1
f ′ (1 – ) = 
= 
= 
f ′ (1 – ) = 3a
f ′ (1 + ) = 
= 
Function is differentiable
∴ – 2 + 
= a + b .....(1)
= 
= 
2 π sin π h + 
= 
Now f ′ (1 – ) = f ′ (1 + )
3a = 
a = 
....(2)
by (1) and (2) b = 
– 
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