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| PAGE: 220 | SET: Exercises | PROBLEM: 9 |
The function is 
.
Substitute 
in 
.
Substitute 
in 
.
Hence, 
it satisfies the third condition of the Rolle
s theorem.
is continuous on the interval 
.
The function is 
.
Differentiate 
on each side with respect to 
.
is not differentiable at 
.
is never 
, thus there is no values of 
where 
.
Even though it does not contradict the Rolle
s theorem because is undefined when 
in which we should not apply Rolles theorem.
is undefined when , we cannot apply Rolles theorem.
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