※ 引述《gwogwo (要專心唸書不能玩)》之銘言：
: find an equation of the tangent to the given curve at the given point!!
: x*sin(xy-y^2)=x^2-1 at(1,1)
Implicit differentiation???
Actually, it's not so hard.....
If my calculation is correct, the answer will be
dy [2x- Sin(xy-y^2) - xy Cos(xy - y^2)] |
-- = --------------------------------------| = -1
dx (x^2-2xy) Cos(xy-y^2) |(1,1)
So the answer is x + y = 2 ??
Or is it still not a correct answer?
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