curve equation x^3+xy^2+py^2-3px^2

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curve equation x^3+xy^2+py^2-3px^2

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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take the derivative with respect to x, implicitly
then solve for y'=0

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THX
do you know how to work implicits?
is the answer is x=(sqr root2)p ?
i would rather see your process first
im still working out my idea to be sure tho
ok
i dont think i get the same results as you posted. hence the need to see your work in more detail

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