The value of from the Lagrange's mean value theorem for which is is
Explanation for the correct option:
Find the value of
A function is given with the interval .
Lagrange's mean value theorem states that, if a function is continuous on then there exists a value between and for which .
Find the derivative of the given at .
Apply Lagrange's mean value theorem as follows,
Since, does not lie between and .
Therefore, the value of is .
Hence, option C is correct .