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Derivatives and Slopes of Tangents

1. Determine dy for each of the following relations.

a) 9x2-16y2=1

b) y3+5xy+x3=1

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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