SOLUTION: Please help me with this problem: Find the slope of the tangent line which can be drawn to the function xy = 1 at x = 1.

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Question 1027428: Please help me with this problem:
Find the slope of the tangent line which can be drawn to the function xy = 1 at x = 1.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Apply the product rule:
(xy)' = y + xy' = (1)' = 0.
Now when x = 1, from xy = 1 we get y = 1.
==> 1 + 1*y' = 0
==> y' = -1, the slope of the tangent line which can be drawn to the function at x = 1.