Question

Verify Mean Value Theorem, if in the interval [a, b], where a = 1 and b = 3. Find all for which

Answer 1

The given function f is

f, being a polynomial function, is continuous in [1, 3] and is differentiable in (1, 3) whose derivative is 3x² − 10x − 3.

Mean Value Theorem states that there exist a point c ∈ (1, 3) such that

Hence, Mean Value Theorem is verified for the given function and is the only point for which