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Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks!
9 years ago

Answers

Reiny
to get you going:

let P(a , e^a) and Q(b, lnb) be the closest points on their respective graphs

since they are inverses the line PQ must be perpendicular to y = x
but y = x has a slope of 1, so the
sope of PQ = -1

See what you can do with that.
9 years ago

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