Original
The function {{MATH_75}} is one-to-one when restricted to the interval {{MATH_76}}. Let {{MATH_77}} be the
inverse of this restriction. Find an equation of the line tangent to the graph of {{MATH_78}} at the point {{MATH_79}}.
{{CMD_80}}
Since {{MATH_81}} we know that {{MATH_82}} is referring to the point on the graph of {{MATH_83}}. In order to
find the slope of the line, we must calculate {{MATH_84}}.
By the inverse function theorem we know:
{{ENV_85}}
Since {{MATH_86}}, this gives {{MATH_87}}.
An equation of the tangent line can be given as:
{{MATH_88}}
{{CMD_89}}
{{CMD_90}}