- 1. Calculate the derivative of f(x) = (x 1)(3x + 1) two ways in (a)...

 

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- 1. Calculate the derivative of f(x) = (x 1)(3x + 1) two ways in (a) and (b) below; then in part (c), verify that the resulting derivatives are equal: (a) First, use the Product Rule to differentiate without distributing the product. (b) Now, distribute the product in the original function f and then differentiate using the Power Rule. (c) Finally, use algebra to show that your derivative in (a) is equivalent to your derivative in (b). - 1. Calculate the derivative of f(x) = (x 1)(3x + 1) two ways in (a) and (b) below; then in part (c), verify that the resulting derivatives are equal: (a) First, use the Product Rule to differentiate without distributing the product. (b) Now, distribute the product in the original function f and then differentiate using the Power Rule. (c) Finally, use algebra to show that your derivative in (a) is equivalent to your derivative in (b).

Answer rating: 100% (QA)

a Using the Product Rule without distributing the product Let fx x3x1 fx 13x1 x3 fx 3x 1 3x f... View the full answer