Answer:
Step-by-step explanation:
The following information is missing in the given question:
Using this we may solve the question as:
We are given the following in the question:
We have to find the number c such that f(x) satisfies the Mean value theorem.
Mean Value theorem:
It states that if the function is differentiable in the closed interval [a,b], differentiable in the interval (a,b), then there exist c in (a,b) such that:
Now,
Continuity in [0,9]
Since a polynomial function is continuous everywhere, f(x) is continuous in [0,9]
Differentiability in (0,9)
Since a polynomial function is differentiable everywhere the given function is differentiable in interval (0,9)
Then, by mean value theorem: