SOLUTION: Calculus Problem, Applied Optimization Find a positive number for which the sum of its reciprocaland four times its square is the smallest number.

SOLUTION: Calculus Problem, Applied Optimization Find a positive number for which the sum of its reciprocaland four times its square is the smallest number.

Algebra.Com

Question 379613: Calculus Problem, Applied Optimization
Find a positive number for which the sum of its reciprocaland four times its square is the smallest number.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let be the number.

Take the derivative of f(N) and set it equal to zero.

RELATED QUESTIONS
Find a positive integer for which the sum of its recipricol and four times its square is (answered by stanbon,josgarithmetic)

Find a positive number for which the sum of its reciprocal and four times its square is... (answered by Jk22)

Find the smallest angle in which the sum of the measures of the angle, three times its... (answered by nerdybill)

The sum of a number and four times its reciprocal is 29/5.Find the number (answered by eggsarecool)

The sum of a number and its reciprocal is 5 times the number. Find the positive... (answered by stanbon,ankor@dixie-net.com)

wht is the solution of, a two digit number is four times the sum of its digits and... (answered by Edwin McCravy)

the sum of a number and four times its reciprocal is -5. what is the... (answered by sofiyacherni,bucky)

the sum of a positive number and twice its square is 6.72. find the number (answered by Alan3354)

The sum of 6 times a positive integer & its square is 91 . find the integer (answered by ikleyn,chen.aavaz)