# For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule.Do not include "k(x)=" in your answer. For example, if your answer is k′(x)=4x4, you would enter 4x4.

Question
Asked Mar 5, 2019
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For k(x)=(x1)(x22x)(2x2), find the derivative of k(x) using the product rule.

Do not include "k(x)=" in your answer. For example, if your answer is k(x)=4x4, you would enter 4x4.

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## Expert Answer

Step 1

Obtain the derivative of the function k(x) as follows.

Step 2

Consider the function f(x)=x-1 and g(x)=(-x²-2x)(2x-2) and apply the product rule

Use the difference rule and the power rule to differentiate the function as follows.

Step 3

Again apply the product rule ...

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