Question: 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






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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