After reviewing this week's homework problems, choose one of them and describe how a derivative could be used to sketch a function in your initial post; also, discuss the advantages a derivative provides you when sketching a curve. When responding to your classmates, discuss why this might be an important calculation and what goals it might help achieve. For general instructions about content discussions in this course, see the Discussions in this Course item in the Course Information section. Q Search entries or author Unread Subscribed Reply O Joseph William Hunt . .. Jan 24, 2024 I chose problem #20 of section 4.1. The derivative of this problem is f'(x)=3X^2-3. The derivative of this equation can be used to sketch a function by letting us know when the function is increasing or decreasing. It also will let us know when there is a relative minimum or maximum. The advantages of utilizing the derivative stem from the derivative showing us when the initial function is decreasing or increasing at any given point. This allows us to graph the function with relative similarity to what the actual function would look like. Increasing that relative similarity between our hand graphed function and the actual function comes from using the relative maximums and minimums that are shown when using the derivative