Let f(x) = A = -2 3x + 1 If h 0, then the difference quotient...

 

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Let f(x) = A = -2 3x + 1 If h 0, then the difference quotient can be simplified as B = where A, B, C, and D are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. , and D Use your answer from above to find f'(x) Finally, find each of the following: f'(1) = , f'(2) = = lim h→0 9 C = f(x + h) - f(x) h 9 f(x + h) - f(x) h and f'(3) = = = A (Bx + Ch + 1)(Dx + 1) ' Let f(x) = A = -2 3x + 1 If h 0, then the difference quotient can be simplified as B = where A, B, C, and D are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. , and D Use your answer from above to find f'(x) Finally, find each of the following: f'(1) = , f'(2) = = lim h→0 9 C = f(x + h) - f(x) h 9 f(x + h) - f(x) h and f'(3) = = = A (Bx + Ch + 1)(Dx + 1) '