Find fiff"(x) = 12x² + 6x − 4, f(0) = 9, and f(1) = 3. - Solution The general antiderivative of f"(x) = 12x² + 6x4 is as follows. f'(x) = 12x II +6 f(x) = 4x + C. +3x Using the antidifferentiation rules once more, we find the following. + CX + D. - 4x + C Since f(1) = 1 + 1 - 2 + C + f(x) = + CX + D. To determine C and D we use the given conditions that f(0) = 9 and f(1) = 3. Since f(0) = 0 + D = 9, we have D = = 3, we have C = Therefore, the required function is

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