### Find dy/dx by differentiating implicity.

Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y. 4(x^2 +2)^3 +(y^2+2)^2 = 19

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Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y. 4(x^2 +2)^3 +(y^2+2)^2 = 19

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There are four optical illusions that are placed over a graph. In each graph depicted, an optical illusion is created by having lines intersect a family of curves. In each case, the lines appear to be curved. Please find the value of dy/dx for the given values of x and y and please show work involved so I can learn from it.

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Find the point(s) on the graph where the tangent line is horizontal... 50. Extend the product rule for differentiation to the following case involving the product of three differentiable functions... Find derivative... (Please see attached.)