Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let f be twice differentiable function such that 
and 
. If 
then 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
B
Differentiating the given relation 
w.r.t x , we get 
.......(i)
But we are given 
and 
so that 
Then (1) may be re-written as
Thus 
Whence by intergrating, we get 
constant = c (say). Hence 
for all x .
In particular, 
But we are given 
It follows that 
and we have 
for all x . Therefore, h (10) = 11.
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