Calculus: General Differentiation – #42


Question: Let \(f\left( x \right)={{x}^{3}}\). Verify the hypotheses of the Mean Value Theorem say for f(x) on [-1,1]. Find all values of c that satisfy the conclusion of the Mean Value Theorem. (i.e. Find those places where the instantaneous rate of change is equal to the average rate of change over the interval.)

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