Question

find the interval for alpha so that is normal to the curve xy=4

Answer 1

"Consider there is some point (x0,y0) on the curve xy=4, where y0=4/x0. The derivative at that particular point is −4/x20.

Therefore, if the line has to be normal to this point the it will have to pass through (x0,y0), and have a gradient. It will be the negative reciprocal of that point on the curve, that is, x20/4."

Answer 2

Answer:

x20/4

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