#14-A Summary of The First & Second Derivative Tests

...part of the broader topic of curve sketching. Eventually, we will be able...on a graph. If the first derivative of the function goes from ... concave down. If the second derivative is positive, then the graph is... is concave down. The second derivative test states that if the ... equals zero and the second derivative is greater than zero, then ... that point. If the first derivative of the function equals zero ...