(A) The derivative $\frac{dy}{dx}$ represents the slope of the tangent to the curve at a given point.At point $P$,which is the minimum point of the pa

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(A) The derivative $\frac{dy}{dx}$ represents the slope of the tangent to the curve at a given point.At point $P$,which is the minimum point of the parabola-like curve,the tangent is a horizontal line.The slope of a horizontal line is $0$.Therefore,at point $P$,the value of $\frac{dy}{dx} = 0$.