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To illustrate the Mean Value Theorem wit...

To illustrate the Mean Value Theorem with a specific function, let’s consider`f(x) = x^(3) – x, a= 0, b = 2`. since f is a polynomial, it is continuous and differentiable for x, so it is certainly continuous on [0, 2] and differentiable on (0, 2) such that `f(2) – f(0) = f'(c)(2 – 0)`

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The correct Answer is:
But c must lie in (0, 2) , so `c=2//sqrt(3)`.
The tangent line at this value of c is parallel to the secant line OB.
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