EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the definition we have lim f '(a) = h 0 = lim = h→0 = lim h→0 = lim h→0 lim = h→0 + f(a+h)-f(a) h - 3(a + h) + 5] - [a² - 3a + 5] h - 3a - 3h + 5-a²2 + 3a - 5 h h

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