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Find the derivative of the function by using the product rule. Then multiply out the function and find the derivative by treating the function as

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Find the derivative of the function by using the product rule. Then multiply out the function and find the derivative by treating the function as a polynomial. Compare the results. V= (n3 -4) (2h2 - 5h-4)Which of the following shows the result of using the product rule to find the derivative of the given function? 2 d 2 3 d 3 (2h 5h4)%(2h 5h4)-(h -4)E(h -4) .- . (he. _ 412 2 d 3 3 d 2 (2h 5h4)(h -4)(h 4)%(2h 5h-4) 013412 {I} e. (h3 4] % (h3 4) + (2h2 5h-4) 5% (2h2 - 5h - 4) 3 d 2 2 d 3 D. (h -4]%(2h -5h4)+(2h -5h4)(h 4) The derivative using the product rule is V' = Multiplying the function out results in the polynomial (Simplify your answer. Do not factor.) The derivative of the polynomial is V' = Compare the results. Choose the correct answer below. [In A. The derivatives found by both methods are negative inverses. [In B. The derivatives found by both methods are the same. [In C. The derivatives found by both methods are different and unrelated. {:3- D. A derivative can always be found more quickly by applying the derivative of a product formula than by rst multiplying the factors and then differentiating

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