Now that we have the technique of implicit differentiation, we are ready for our [i]final group[/i] of derivative formulas... [b]inverse functions[/b] (e.g., logarithms, inverse trig functions). Yes, that means we are done learning new derivative formulas and turning our attention to applications of the derivative![br][br]In class we will go over the technique for deriving the derivative formulas for inverse functions, which basically involves swapping the input and output variables and using implicit differentiation.

The graph of a function and its inverse are given. If you change the function its inverse will automatically be updated. Notice that the graph of an inverse function is a reflection (about the identity line y = x) of the graph of the original function. [br][list][*]Use the "Tangent" checkbox to show/hide the tangent line on each graph simultaneously. [/*][*]Use the "Change" slider tools to observe a change in one of the variables on each tangent line. Observe the relationship/symmetry of these slopes. [/*][/list]