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Calculating Maximum Height: Confusion & Solutions
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[QUOTE="jbriggs444, post: 6615513, member: 422467"] So you have this formula for the first derivative of range as a function of height. And you seem have observed that this first derivative is maximized when height ##h_0## approaches zero. But you seem to have lost track of what you were doing. You are looking for a height that makes the first derivative zero. Not a height that maximizes it. If you plotted the first derivative, you could see that it looks a bit like just the first quadrant of a hyperbola. [Googled up stock hyperbola] [ATTACH type="full" alt="1648469511641.png"]299029[/ATTACH] Are there any zeroes for the first derivative? [/QUOTE]
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Calculating Maximum Height: Confusion & Solutions
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