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6:37
Khan Academy
Sal Khan
Mean value theorem
The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b]. In other words, the graph has a tangent somewhere in (a,b) that is parallel ...
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SOLVED:Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f^'(c)=(f(b)-f(a))/(b-a). f(x)=x^2 / 3,[0,1]
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