Let {{MATH_91}} be a differentiable function that has an inverse. In the table below we give several values for both {{MATH_92}} and {{MATH_93}}: {{MATH_94}} Compute {{MATH_95}} {{CMD_96}} From the table above we see that {{MATH_97}} Ah! But here, {{MATH_98}}, so we have no guarantee that the inverse exists near the point {{MATH_99}}, but even if it did the inverse would not be differentiable there. {{CMD_100}} {{CMD_101}}