A curve is defined by x³y² = x. The graph of this curve is shown below along with a sketch of the tangent line to the curve at the point (-1,1). y (a). Use the diagram to estimate the slope of the tangent line to the graph of this curve at the point (-1,1). Show your steps and explain your strategy. (b). Use Implicit Differentiation to determine the formula for . Show your steps and use proper dx notation. (c). Use the formula obtained in Part (b) to determine the exact slope of the tangent line.

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