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Let f(x) be a function that is differentiable everywhere and has a derivative f′(x)=4x^2−4x+2. Verify that the Intermediate Value Theorem for Derivatives applies to the function f′(x) on the interval [0,2], and find the value of c guaranteed by the theorem such that f′(c)=5.

Let fx be a function that is differentiable everywhere and has a derivative fx4x24x2 Verify that the Intermediate Value Theorem for Derivatives applies to the f class=


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