- #1

unf0r5ak3n

- 36

- 0

## Homework Statement

Is it possible that there are two different tangent lines to this function that are perpendicular to each other? If so, find the equations of the two lines and show that they are tangent to ƒ(x) and perpendicular to each other. If not, show why it is not possible.

## Homework Equations

ƒ(x) = x^2 + 2

## The Attempt at a Solution

I believe it is possible, I found the line tangent to ƒ(x) at x=2 and its perpendicular line was fairly close to a tangent to the function. However I'm not sure how to find the equations that would be exactly tangent to ƒ(x) as well as perpendicular to one another