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)

Question 1189574: Use implicit differentiation to find the equation of the tangent line at the given point
arctan(x+y)=y^2+pi/4 (1,0)
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!


  @ (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

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