Question 1084616
Find the value of the derivative at that point, it's the slope of the tangent line.
Implicitly differentiating,
{{{2ydy=12dx}}}
{{{dy/dx=6/y}}}
So at (3,6),
{{{m=dy/dx=6/6=1}}}
Using the point slope form of a line,
{{{y-6=1(x-3)}}}
{{{y-6=x-3}}}
{{{y=x+3}}}
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*[illustration CD5.JPG].