Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. y^2 - x^3 = 17; (2, -5) dy/dx = The slope of the graph at the given point is (Type an integer or a simplified fraction.)
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The derivative of y^2 with respect to x is 2y(dy/dx) (using the chain rule), and the derivative of -x^3 with respect to x is -3x^2. The derivative of 17 with respect to x is 0. So, we have 2y(dy/dx) = 3x^2. Show more…
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