These 36 cards engage the students in finding the derivative of inverse trigonometric functions. There are six sets of six cards in the activity. Instead of just memorizing a formula for derivative of inverse functions, students are encouraged to rewrite the functions without using the inverse functions and then use implicit differentiation to find the needed derivatives.
The basic procedures are developed in the first set of six cards (white cards). With these cards students find the derivative of the six basic inverse trigonometric functions. In addition, students are encouraged to leave their derivatives as functions of y. Most of the time in real problems students are asked to find the slope of a function at a specific point so students would know the x and y value. These values can be used to find the derivative.
It is probably not necessary for each student to solve all 36 problems. One way would be to have students work in groups of six. They might differentiate one problem each and then compare their solutions with each other and notice the patterns in their derivatives. If smaller groups are used maybe students work on one or two cards each and then compare their solutions.