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]

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.