EXAMPLE 4 Video Example Find the derivative of the function f(x)=x²-9x + 8 at the numbers (a) 5 and (b) a. SOLUTION (a) From this definition we have the following. f(5+h)-f(5) f'(5) = lim h (b) = lim = lim h-o = lim h-D = lim = lim h-o = lim h-0 = lim 25+ h h - f(a) - 9(5 + h) +8 1)+8] - [(5)² - 9(5) +8] h 459h + 8 + 12 a + h) + 8] − [a² - h -[a²9a +8] -9a-9h+8-a² +9a-8 h As a check on our work in part (a), notice that if we let a = 5, then f'(a) = f'(5) =

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