Let {{MATH_64}} be a differentiable function that has an inverse. In the table below we give several values for both {{MATH_65}} and {{MATH_66}}: {{MATH_67}} Compute {{MATH_68}} {{CMD_69}} Note, {{MATH_70}} From the table above we see that {{MATH_71}} Hence, by the inverse function theorem {{MATH_72}} {{CMD_73}} {{CMD_74}}