SOLUTION: Find max/min using second-derivative test
For: f (x) = xe^-0.2x
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Question 1035331: Find max/min using second-derivative test
For: f (x) = xe^-0.2x
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
==>
Let
==> . Note that is always greater than 0.
==> x = 5. So there is a critical point at this x-value.
Now , and ,
hence there is a local max, which is also an absolute maximum at x = 5.
The maximum value is .
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