1. Determine dy for each of the following relations.
2. Determine the slope of the curve 8x3+3xy+8y3=19 at the point (1,1).
3. Determine the equation of the tangent to the given curve at the given point.
x2-y2-x=1 at (2,1)
4. Determine the equation(s) of the tangent(s) to xy+y=8 having slope -1/2.
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Derivatives and Slopes of Tangents are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.