delilahdiaz1725 delilahdiaz1725
  • 10-11-2017
  • Mathematics
contestada

Find a positive number for which the sum of it and its reciprocal is the smallest possible.

Respuesta :

W0lf93
W0lf93 W0lf93
  • 21-11-2017
We will use the method Minimize f(x) = x + 1/x there for f'(x) = 1 + -1/x² which can be written as 0 = 1 + -1/x² which is 1/x² = 1 it makes x² = 1 then x = ±1 We need the positive number so the answer is 1.
Answer Link

Otras preguntas

0.285 to the nearest tenth
Find the least common multiple of 22, 44, and 264.
The total cost of renting a car is $30.00 for each day the car is rented plus 28 1/2 ¢ for each mile the car is driven. What is the total cost of renting the ca
What were Andrew Jackson's accomplishments as president?
The total cost of renting a car is $30.00 for each day the car is rented plus 28 1/2 ¢ for each mile the car is driven. What is the total cost of renting the ca
Nicholas spends 20 minutes ironing shirts with his 1,800-watt iron. How many joules of energy were used by the iron?
which property is illustrated by the equation (a+b)+c=c+(a+b)
What are two equivalent fractions for 2/10, three equivalents fractions for 3/11 and three equivalent fractions for 1/12?
what is a fraction of a circle of 120 degree
22 is what percent more than 20?