In this section, the Product Rule is shown using the product of two functions. The rule can be extended to differentiate the product of any finite number of differentiable functions. For example, if k(x) = f(x) · g(x) · h(x), then the derivative of k is given by k′(x) = f′(x) · g(x) · h(x) + f(x) · g′(x) · h(x) + f(x) · g(x) · h′(x). Use this form of the Product Rule to differentiate the functions in Exercise.
f(x) = (x − 4)(3x2 − 5)(2x − 9)
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