Question 1031551
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(400,400,-10,10,-10,10,x + 1/x)}}}
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Cheers,
Stan H.
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