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What is Mean Value Theorem Explained about?

The mean value theorem states that if a function is continuous over an interval and differentiable inside the interval, then there exists at least one number c within the interval where the slope of the tangent line at c equals the average slope of the entire interval. The function f(x)=(x+2)/(x+5) satisfies these conditions over the interval [-3,7]. The average slope of this interval is 1/8. Setting the derivative of f(x) equal to 1/8 yields the value of c as approximately -0.1010205144. The equation of th

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