Find the slope of the tangent line to the curve (sqrt(4x+y))+(sqrt(3xy)) at the point (3,4)

Question

The slope of the tangent line to the curve at the given point is ?

I got
-((1/2)+4sqrt(36))/((1/8)+3sqrt(36))

Answer 1

√(4x+y)+√(3xy)
is not a curve. It is a surface.

I guess you meant

√(4x+y)+√(3xy) = 10
Hmmm. Maybe not, since that does not lead to the value you give. Try again with the post, and maybe show some intermediate steps.

Answer 2

yeah, sorry the equation was √(4x+y)+√(3xy) = 10.