Question: Compute dy/dx at the point P = (2, 1) on the curve y3 + 3xy = 7 and show that the linearization at P is

Compute dy/dx at the point P = (2, 1) on the curve y3 + 3xy = 7 and show that the linearization at P is L(x) = −1/3x + 5/3. Use L(x) to estimate the y-coordinate of the point on the curve where x = 2.1.

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