To find critical points of a function, take the derivative, set it equal to zero and solve for x, then substitute the value back into the original function to get y. Check the second derivative test to know the concavity of the function at that point. ...
What is a Critical Point in Calculus? A critical point of a function y = f(x) is a point at which the graph of the function is either has a vertical tangent or horizontal tangent. To find critical points we see: The points at which f'(x) = 0. ...
Critical Points in Calculus | Graphs, Functions & Examples from Chapter 8 / Lesson 9 267K This lesson explores what critical points are in calculus. It gives a step-by-step explanation of how to find the critical points of a function, a...
Vocabulary Critical Points – points on a graph in which a line drawn tangent to the curve is horizontal or vertical Maximum Minimum Point of Inflection Maximum When the graph of a function is increasing to the left of x = c and decreasing to the right of x = c. Minimum When the graph...