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Find the equation of the line tangent to the curvexy^3+xy=6at the point (3,1).When the equation of this tangent line is written in the form y=mx+b.


Find the equation of the line tangent to the curve

at the point (3,1).
When the equation of this tangent line is written in the form y=mx+b.
Step 1

Firstly, we will find derivative 

And then we can solve for y'

and we get


Step 2

Now, we can plug x=3 and y=1 to get slope (m)


Step 3

Now, we can use point slope form of line 

and then we ca...


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