Question: Let f(x) = 4 - 8x2. Ifh + 0, then the difference quotient can be simplified as f(ath ) - f(2) = Ah + Bx

Let f(x) = 4 - 8x2. Ifh + 0, then the

Let f(x) = 4 - 8x2. Ifh + 0, then the difference quotient can be simplified as f(ath ) - f(2) = Ah + Bx + C, h where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = B = , and C = Use the simplified expression to find f'(x) = lim f(act h) - f(ac) h-0 h Finally, find each of the following: f'(1) = , f' ( 2 ) = and f'(3)

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