Consider the function f(x) = 3x^2 - 4x - 1 and complete parts (a) through (c). (a) Find f(a + h); (b) Find (f(a + h) - f(a)) / h; (c) Find the instantaneous rate of change of f when a = 5. (a) f(a + h) = (Simplify your answer. Do not factor.)
Added by Max M.
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We can do this by taking the derivative of f with respect to h: = 3x2 4x - 1 = (3x2 + 4x - 1) = 9x2 + 16x - 17 We can also use the chain rule to simplify this: = 9x2 + 16x - 17 = 9x2 + 16x - 17 - 9x = 0 = 9x2 + 16x - 17 - 16 = 0 = 3x2 4x - 1 Show more…
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