Implicit Relations, Behavior - Calculus

This calculus video covers a tutorial on the behavior of implicit relations. Similar to explicit functions, critical points can be found by setting the derivative to zero and the concavity at a point can be determined by the second derivative.

This calculus video covers a tutorial on the behavior of implicit relations. Similar to explicit functions, critical points can be found by setting the derivative to zero and the concavity at a point can be determined by the second derivative.

0:00 Explaining the behavior of implicit relations using derivatives
1:48 Worked example on determining if the implicit function is increasing or decreasing
2:29 Worked example on determining if the implicit function concave up or concave down
3:32 Worked example on finding the equation of the normal and tangent to a curve
4:44 Worked example on finding the minimum or maximum of an implicitly defined curve