Question: Given a parametrized curve c(t) = (x(t), y(t)), show that d (dy) dt dx x (t)y (t)- y' (t)x(t) z(1) xx

Given a parametrized curve c(t) = (x(t), y(t)), show that

d (dy) dt dx x' (t)y

Use this to prove the formula

dy x' (t)y

d (dy) dt dx x (t)y" (t)- y' (t)x"(t) z(1) xx

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