Question

Find equation of the tangent line to the curve x^(2)-2(sqrtxy)-y^(3)==11 at the point (4,1)

Answer 1

\[x^2-2\sqrt{xy}-y^3=11\]?

Answer 2

^is this your problem?

Answer 3

yes

Answer 4

Do you know how to implicitly differentiate?

Answer 5

If someone could double check my algebra..I calculated the derivative as \[(dy/dx)=(2x-(\sqrt(y)/\sqrt(x)))/(3y^2-(\sqrt(x)/\sqrt(y)))\]

Answer 6

@cxs379 use http://www.wolframalpha.com/input/?i=differentiate+x%5E%282%29-2%28sqrt%28xy%29%29-y%5E%283%29%3D11+with+respect+to+x