longrob

Mr. Robert Long

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13 years, 9 days
Leeds, United Kingdom

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Hi all Given the relation, x sin(xy)=x , and wishing to find dy/dx by implicit differentiation, the easiest and most obvious way is to cancel x and then arrive at the answer dy/dx = -y/x: > implicitdiff(sin(x*y)=1,y,x); - y/x (assuming x is not equal to 0 of course) But, what if we try this: > implicitdiff(x*sin(x*y)=x,y,x); sin(x y) + x cos(x y) y - 1 - ------------------------------- x^2 cos(x y)
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