Derivatives of an Inverse Function

We begin by considering a function and its inverse. If f(x) f(x) is both invertible and differentiable, it seems reasonable that the inverse of f(x) f(x) is also differentiable. Figure 3.7.1 3.7. 1shows the relationship between a function f(x) f(x) and its inverse f−1(x) f−1(x)...