A function f is defined by in .
Which of the following is not correct?
Roll's theorem is not true in
The explanation for the correct answer:
Step 1: Finding continuity of the function:
Given,
Since is continuous all and is continuous all
Thus, is continuous in
Step 2: Finding differentiability of the function:
We have
Since and is differentiable all and is differentiable all
Thus is differentiable in
Step 3: Finding and :
Thus .
Therefore, all three conditions are true.
So the function is satisfied all the conditions of rolle's theorem in .
Hence, option (D) is the correct option.