Unlocking Intervals Of Concavity: A Comprehensive Guide To Detect Convexity And Concavity
To determine concavity, find the second derivative. Positive second derivatives indicate concavity up, while negative values indicate concavity down. To find intervals of concavity, calculate the second derivative, identify critical points (where the second derivative is zero or undefined), and test concavity on either side of each critical point. This process allows you to determine…