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

0 votes

sqrt(1x+2y) +sqrt(3xy) = 12.2? 

asked Oct 20, 2014 in CALCULUS by anonymous
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.

1 Answer

0 votes

The equation is image.

Differentiate with respect to x.

image

image

image

image

image

image

Substitute image in the above equation.

image

image

image

image

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

image

image

image.

The tangent line equation is image.

answered Oct 20, 2014 by casacop Expert

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