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Find the Equation of the Tangent Line to the Inverse at the Given Point

A: Point-Slope Form |
B: Slope-Intercept Form |
C: Inverse Function Rule |
D: Concavity Formula

1 Answer

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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:

  1. Find the derivative of the inverse function.
  2. Substitute the x-coordinate of the given point into the derivative to find the slope of the tangent line.
  3. Use the point-slope form or the slope-intercept form to write the equation of the tangent line.
  4. You can also find the inverse function rule if needed.
  5. The concavity formula is not directly related to finding the equation of the tangent line to the inverse.

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