Find the equation of the tangent line at the point (6,4) using implicit differentiation

Question

sqrt(1x+2y) +sqrt(3xy) = 12.2? 

Comments

Thank you so much for helping me with this problem.  I got the same process to the solution, and yet when I enter my answer in Webwork it says it's wrong (the question is to give the slope of the tangent line to the curve at the point 6,4).  I just want to thank you again because this problem was driving me crazy.

Answer 1

The equation is .

Differentiate with respect to x.

Substitute in the above equation.

Point-slope form of line equation: , where m=slope and is point.

.

The tangent line equation is .