Solved: Inverse Functions: Triangle Area in First Quadrant

[moela]

[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

 

[mathwonk]

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??

 

[moela]

yea i got it
thanks

delete now please