❖ Calculus Optimization : Largest Area of a Rectangle Under a Curve ❖

In this video, I use calculus to find the largest rectangle that touches a curve and is bounded below by the X-Axis.

[martin]

I don't get it. Your written question says nothing about a curve or boundaries. It merely asks us to find the maximum value of x for the function A(x) = 16x-x². Since A(x) is a rectangular area and x max is 8, area must be 8x8. What am I missing? Anyone?

[benbrinkmann]

Very helpful video. Midterm tomorrow, wish me luck. I'll need it

[alexandrewsgosiangco]

timing was perfect, about time to study this. tnx +patrickjmt

[fredsmith]

where's the "under a curve" part?

[chelsyen]

why'd this make more sense than what my teacher did

[nikhilkolhe]

If I have f(x) = 16-x. And I have to find lengths of a rectangle under this curve with max area. Then is it same as maximizing xf(x) = 16x-x^2 as shown in this video

[zeusoliverreyes]

thanx for the tutor.. it really helped me TT.TT