Asked by Samuel
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!
Answers
Answered by
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.
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.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.