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A Point Moves Along the Curve 3y+y28x=23 y + y ^ { 2 } - 8 x = 2

question 15

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A point moves along the curve 3y+y28x=23 y + y ^ { 2 } - 8 x = 2 . When the point is at (12,1) \left( - \frac { 1 } { 2 } , - 1 \right) , its xx -coordinate is increasing at the rate of 3 units per second. How fast is its yy -coordinate changing at that instant of time?

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