SOLUTION: Hi. I can't figure out how to solve this problem. At first I solved for L=250-W and then plugged it in to become A=W(250-W) which resulted in 250W-W^2. Then I got the derivative be

Algebra ->  Rectangles -> SOLUTION: Hi. I can't figure out how to solve this problem. At first I solved for L=250-W and then plugged it in to become A=W(250-W) which resulted in 250W-W^2. Then I got the derivative be      Log On


   

Question 720882: Hi. I can't figure out how to solve this problem. At first I solved for L=250-W and then plugged it in to become A=W(250-W) which resulted in 250W-W^2. Then I got the derivative being 250-W. I'm not sure if it's correct so far or what to do next if it is correct. Thank you very Much.
Use calculus to find the largest possible area for a rectangular field that can be enclosed with a fence that is 500 meters long.
_________ m^2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Your formula for derivative is not so correct. You may have just missed remembering the simple formula. d/dw of %28250w-w%5E2%29 is d/dw of (250w)- d/dw of (w^2), which is highlight%28250+-+2w%29.
NOW, to maximize or minimize the A function, set 250-2w=0, and find w.