Solved: Inverse Functions: Triangle Area in First Quadrant

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The discussion focuses on finding the area of the largest triangle in the first quadrant with two sides on the axes and a third side tangent to the curve y=e^-x. Participants suggest taking a specific value of x to determine the equation of the tangent line and where it intersects the axes. They derive a formula for the triangle's area and maximize it using derivatives. The final area calculated by participants is 2/e. The conversation concludes with a request to delete the thread.
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[SOLVED] Inverse Functions

What is the area of the largest triangle in the first quadrant with 2 sides on the axes and third side tangent to the curve y=e^-x
 
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just take any value of x and find the equation of the tangent line at that point, and see where it hits the x and y axes. then write a formula for that area, and maximize the formula by taking derivatives. hmmmmm... i think i got 2/e what did you get??
 
yea i got it
thanks

delete now please
 

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