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