Extended Mean Value Theorem In Exercises 91–94, apply the Extended Mean Value Theorem to the functions f and g on the given interval. Find all values c in the interval (a, b) such that
To calculate: The value of c in the interval such that by applying extended mean value theorem to functions in the interval .
The functions are and the interval is .
The Extended Mean Value Theorem
Where, are functions.
The formulae for differentiation are:
Where, x is a variable and n is a constant value.
Consider the functions . Since, the interval is . Hence .
Substitute 1 for x in .
And so substitute 4 for x in .
Also, so substitute .
And so substitute .
Since , for , substitute c for x in
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