This really helped me. I was able to understand everything that my teacher taught me except graphing the derivatives of a function. With your chart of graphical relationship between f and f', I now know whether the f' line should go above or below the x axis. This was very clear and extremely helpful!
Yay! I’m so glad I could help. 😊 Be sure to look through the calculus section of my channel. There may be more videos that you might find illuminating. 💡
could number 4 be considered a parabola ? or does it have to have that flat horizontal line. because following the rules, it goes from increasing to decreasing
You lost me a little. When you asked if #4 could be considered a parabola, were you referring to the given graph (f’) or the graph we are drawing (f)? When you said it goes from increasing to decreasing, to which graph were you referring? The last part of f was linear with a slope of 2/5. According to the chart, if f is CC ⬆️, f’ is increasing. If f is CC ⬇️, f’ is decreasing. So if f is linear, it is neither CC ⬆️ nor CC ⬇️. Therefore f’ is neither increasing nor decreasing. In other words, f’ is horizontal at the end. Specifically, f’ always represents the slope of f, so the horizontal line will be at a height that matches the slope of f at the end.
If you have time, watch this updated version of the video which has more details. You can skip ahead to #4. It may be more clear I think. ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-nJ7gmF5YWRY.htmlsi=1dMti3LT9VUEZwvo
