Find two positive numbers x and y such that their sum is 35 and t | Filo
filo Logodropdown-logo

Class 12

Math

Calculus

Application of Derivatives

view icon562
like icon150

Find two positive numbers x and y such that their sum is 35 and the product is a maximum.

Solution: Solution: Here, .

Let
Then,
Now, for to be maximum, should be .




When , then our product is that is minimum.
When , then our product is that is minimum.
When , then our product is will be maximum.
So, are the required values.
view icon562
like icon150
filo banner image

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

playstore logoplaystore logo
Similar Topics
relations and functions ii
integrals
trigonometric functions
inverse trigonometric functions
application of derivatives