Question

Verify Mean Value Theorem, if f (x) = x² – 4x – 3 in the interval [a, b], where a = 1 and b = 4.

Answer 1

The given function is f (x) = x² – 4x – 3

f, being a polynomial function, is continuous in [1, 4] and is differentiable in (1, 4) whose derivative is 2x − 4.

Hence, Mean Value Theorem is verified for the given function.