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fLet f(x) = 3vx - 1. If h * 0, then the difference quotient can be simplified as f (act h) - f(2) A h

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\fLet f(x) = 3vx - 1. If h * 0, then the difference quotient can be simplified as f (act h) - f(2) A h VBx + Ch+ x 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 your answer from above to find f'(x) = lim f(act h) - f(x) h-0 h Finally, find each of the following: f'(1) = , f' ( 2 ) = , and f'(3) =Evaluate the limit below for f (t) = x/E and m = 9 in two steps by using algebra to simplify the difference quotient and then evaluating the limit. lim (w) = lim( f ) = !' h>0 h h>0 ' v

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