Final answer:
To find the equation of the tangent line to the inverse at a given point, follow these steps: find the derivative of the inverse function, substitute the x-coordinate of the given point into the derivative to find the slope, use the point-slope or slope-intercept form to write the equation of the tangent line.
Step-by-step explanation:
To find the equation of the tangent line to the inverse at a given point, you need to follow these steps:
- Find the derivative of the inverse function.
- Substitute the x-coordinate of the given point into the derivative to find the slope of the tangent line.
- Use the point-slope form or the slope-intercept form to write the equation of the tangent line.
- You can also find the inverse function rule if needed.
- The concavity formula is not directly related to finding the equation of the tangent line to the inverse.