Find slopes of all lines tangent to the graph of the relation y^3+(2x^12)(y^2) - 35y = 84 - 84x^5 at the points on its graph where x = 1. ...

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Find slopes of all lines tangent to the graph of the relation y^3+(2x^12)(y^2) - 35y = 84 - 84x^5 at the points on its graph where x = 1. 

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    y^3 + 2x^12 y^2 - 35y = 84 - 84x^5 Upon differentiation, we get ...
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