Question

Find the equation of the line tangent to the curve

xy^3+xy=6

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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