SOLUTION: I AM KIND OF STUCK IN THIS QUESTION CAN SOMEONE PLEASE HELP ME DETAILED a)Create a simplified function that represents the sum of an unknown positive number x and its reciprocal

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Question 1031551: I AM KIND OF STUCK IN THIS QUESTION CAN SOMEONE PLEASE HELP ME DETAILED
a)Create a simplified function that represents the sum of an unknown positive number x and its reciprocal.
b)For what whole number is the sum of the number and its reciprocal the smallest? In your solution, you may want to include a graph the function.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a)Create a simplified function that represents the sum of an unknown positive number x and its reciprocal.
f(x) = x + (1/x)
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b)For what whole number is the sum of the number and its reciprocal the smallest? In your solution, you may want to include a graph the.
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f'(x) = 1 + ln(x)
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Solve:: 1 + ln(x) = 0
ln(x) = -1
x = 1/e
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx+%2B+1%2Fx%29
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Cheers,
Stan H.
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