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with respect to x. Recall that every time you take the derivative of y to multiply by - dy, using the Generalized dx Power Rule.

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with respect to x. Recall that every time you take the derivative of y to multiply by - dy, using the Generalized dx Power Rule. dx d[ x 2 + y2 ] = xy+ 63 2x + y+x X 2y dx Step 2 Now, we take the derivative of the right hand side. To do so, we note that the function on the right is a product, and hence we must use the Product Rule. View y as a function of x and take the derivative with respect to x. Recall that every time you take the derivative of y to multiply by -, dy, using the Generalized Power Rule. -[xy + 63] = X- dy xy + 63 X y Step 3 Now, we put these together and solve for _ by getting all the _ terms on the left side of the equation and factoring. [ x 2 + 12] = [xy + 63] dx 2x + 2y-1 = y +x-2 dx 2y- dy dy 2v2 dx dx X X dy dx = y - 2X dy dx

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