Question

maximum problem

Answer 1

H = x + y

Answer 2

maximize : xy

Answer 3

yes, of all the rectangles a square has a maximum area

Answer 4

but u wanted to prove it using calculus eh ?

Answer 5

how?

Answer 6

you need to maximize the function : xy

Answer 7

get rid of y, by replacing it wid H-x :

x(H-x)

Answer 8

take the first derivative and set it equal to 0.
that gives u max/min points

Answer 9

so its 1-2x

Answer 10

if u want to avoid calculus :
notice that the function is a simple quadratic. so, max value = vertex

Answer 11

ok, lets do the calculus way :)

Answer 12

yes yes..

Answer 13

x(H-x)
Hx - x^2

take first derivative :

H - 2x

set it equal to 0 and solve x

Answer 14

ow i was wrong.. i thought that's 1.. hehe

Answer 15

H/2 ad thats it!!! Thank you so much @ganeshie8

Answer 16

derivative of \(x\) is \(1\)
derivative of \(cx\) is \(c\)

Answer 17

np... u wlc :)