Finding dy/dx and tangent line help?

Rey Cadiz

New member
A curve in the xy-plane is defined by xy^2 - x^3y = 6.

a) find dy/dx.
b) find an equation for the tangent line at each point on the curve with x-coordinate 1.
c) find the x-coordinate of each point on the curve where the tangent line is vertical.
 
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