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Multivariable CalculusSuperchallengePartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Superchallenge problem

Let d(x,y)d(x,y) be the distance from the point (x,y)(x,y) to the parabola y=x2y = x^2. Find ∂d∂x\dfrac{\partial d}{\partial x} at the point (3,0)(3, 0).