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Activity 2.7.4.
For each of the following curves, use implicit differentiation to find
\(dy/dx\) and determine the equation of the tangent line at the given point.
(a)
\(x^3 - y^3 = 6xy\text{,}\) \((-3,3)\)
(b)
\(\sin(y) + y = x^3 + x\text{,}\) \((0,0)\)
(c)
\(3x e^{-xy} = y^2\text{,}\) \((0.619061,1)\)
