SOLUTION: Use implicit differentiation to find the equation of the tangent line at the given point arctan(x+y)=y^2+pi/4 (1,0)

  @ (1,0)

We need the formula:  

Let , then .  For the right side,
 is just a constant and its derivative is 0.



Now we substitute x=1 and y=0, then solve for 











     

That's the slope of the tangent line

Now find the equation of the tangent line which goes thru
(1,0), which has the slope m = -1







Edwin