Mastering Concavity Analysis: A Step-By-Step Guide To Uncover Function Shape
To find concavity intervals, first divide the domain into intervals based on points of inflection. Then, apply the second derivative test: if the second derivative is positive, the function is concave up; if negative, it’s concave down. Points of inflection, where the concavity changes, are found where the second derivative is zero or undefined. By…