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It is just how can you comment on the key features of the graph ?
No it doesn't. According to the equation you show, the volume decreases as height increases. Assuming that A and h are positive (a reasonable assumption), dV/dh is always negative. You haven't given us the problem explanation, but I'm guessing that the cylinder is made from a fixed amount of material, so increasing the height causes the area of the base to get smaller, causing the volume to get smaller.Btw, i am doing an analysis task and there is a ques abt practical problem in creating an open cylinder with max volume. How do answer this ?
The Volume increases as the height increase. dV/dh = -(A^2)/ 4pih^2
The equation you just gave has V as a function of x, not h, so it doesn't make any sense to talk about dV/dh unless there is some relationship between x and h.We have an equation : V=(92pi-x)^2sqrt(4pix -x^2) )/ (24pi^2)
Sketch the graph of dV/dh and give comment on the key features of this graph
Sorry for giving unclear info ! Thx 4 ur time LOL
If you did, we might be a little further along in this problem. With 14 posts in this thread, I can't see that you have actually done anything.Do you know any rules of differentiation? The ones that would be very useful here are the constant multiple rule, product rule, chain rule, in that order. After you have found the derivative dV/dx, then you can graph it. When you have the graph, you can decide what you think are key features of it.
Then it turned into this in post 8:dV/dh = -(A^2)/ 4pih^2
Are you asking about two different problems?V=(92pi-x)^2sqrt(4pix -x^2) )/ (24pi^2)