Graphing a Polynomial Equation :: Curve Sketching Using Calculus

In this video I describe the steps in the process of using Calculus to draw the graph of a polynomial function.

To accurately sketch a function's graph, Calculus can be used to find:
Critical Numbers
Intervals where f(x) is increasing/decreasing
Extrema (maximum and minimum points)
Possible Points of Inflection
Intervals of Concavity
Points of Inflection

I describe what each of these concepts are and slowly work through the process of identifying them in an example.

If you have any questions, feel free to ask in the comments section.

[mbuguawendywanja]

Thank you so much for this incredibly helpful video! Your clear explanations and step-by-step approach really made understanding this concept a breeze. Keep up the fantastic work!

[aadhyamathur]

thank you so so much!! perfectly cleared my concept and helped me find the right way to navigate through these types of problems.