Master Turning Points of Cubic Functions: A Step-by-Step Guide

Welcome to our math channel! In this video, we delve into the fascinating world of cubic functions and their turning points. Join me as I break down the entire process from understanding what a turning point is to differentiating polynomials and finding zero-slope points.
In this video, you’ll learn:
-What a turning point is and its significance in graphing functions.
-How to draw and visualize a cubic graph.
-The step-by-step process of differentiating a cubic polynomial.
-How to find and solve for zero-slope points using the first derivative.
-How to accurately plot turning points on a cubic graph.
Perfect for students, educators, and math enthusiasts, this tutorial simplifies complex concepts and provides clear, easy-to-follow instructions. By the end of this video, you'll have a solid understanding of how to identify and plot turning points on any cubic function.
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[@c.jishnu378]

I see, turning points are really important on where i have reached in my maths lesson, but i have unfortunately not learnt it. Thank you.

[@addwithad]

You're welcome, they're really useful for drawing graphs. After this you usually learn to "classify critical points" this is where you check the values either side of the turning points to see if they are maxima, minima or just a slight inflection in the graph. This is useful for polynomials of degree 3 like cubics or higher since they have more curves