I am told to maximize the area of a rectangular area within the graph
And the area equation I came up with is
I understand optimization problems just fine and I know the above equations are correct, I'm just having a lot of trouble simplifying my answer. If anyone cares to take a look at it, that'd be swell.
now use your expression y = 3e^(-8x^2+2)
in A = 2xy and you're good to go
Originally Posted by Calculus26
Yes I can get that far, putting that into A=2xy and taking the derivative yields
I'm pretty sure this is correct so far...
OK now when you set the derivative equal to 0 cancel out the exponential because it is always positive
6- 96x^2 = 0
x^2 = 1/16
x = 1/4