Question: Let f(x) = -8 -4x2. If h # 0, then the difference quotient can be simplified as f(act h) - f(2) .= Ah + Ba

Let f(x) = -8 -4x2. If h # 0, then the difference quotient can be simplified as f(act h) - f(2) .= Ah + Ba + C, h where A, B, and Care 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) =Let x) be the function 2:132 11.1: + 12. Then the difference quotient M can be simplied to ah + b for: a: f, b = f,

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