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The Mean Value Theorem states that for any given curve between two endpoints, there must be a point at which the slope of the tangent to the curve is same as the slope of the secant through its endpoints.
If f(x) is a function, so that f(x) is continuous on the close interval [a, b] and also differentiable on the open interval (a, b), then there is point c in (a, b) that is, a < c < b .For more details use the links given below:
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Chapter 15: Mean Value Theorems Mean Value...