Original
Let {{MATH_54}} be a differentiable function that has an inverse. In the
table below we give several values for both {{MATH_55}} and {{MATH_56}}:
{{MATH_57}}
Compute
{{MATH_58}}
{{CMD_59}}
From the table above we see that
{{MATH_60}}
Hence, by the inverse function theorem
{{MATH_61}}
{{CMD_62}}
{{CMD_63}}