Let f(x) = -2 + 5x. If h = 0, then the difference quotient can be...

  

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Let f(x) = -2 + 5x². If h = 0, then the difference quotient can be simplified as f(x+h)-f(x) 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 = , and C= B = Use the simplified expression to find f'(x) = lim h→0 Finally, find each of the following: f'(1) = , f'(2) = f(x+h)-f(x) h , and f'(3) = = = Ah + Bx + C, Let f(x) = -2 + 5x². If h = 0, then the difference quotient can be simplified as f(x+h)-f(x) 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 = , and C= B = Use the simplified expression to find f'(x) = lim h→0 Finally, find each of the following: f'(1) = , f'(2) = f(x+h)-f(x) h , and f'(3) = = = Ah + Bx + C,