SOLUTION: find two numbers whos sum is 21 and whose product is a maximum

Question 822167: find two numbers whos sum is 21 and whose product is a maximum
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Let us assume one of the numbers is . As the sum of the two numbers is , the other number is .
The product of the two numbers is a function .
Now we need to find the of .
For this we need the derivative of and have to equate it to .
f�
=>
=>
Now f�� which is negative at . So is truly the .
If , the first number is and the second number is
So the two required numbers are and

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