A particle starts at the origin and moves along the parabola $y = x ^ { 2 }$ such that its distance from the origin increases at 4 units per second. How fast is its x-coordinate changing as it passes through the point $( 1,1 )$ ?

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The Answer of A particle starts at the origin and moves along the parabola $y = x ^ { 2 }$ such that its distance from the origin increases at 4 units per second. How fast is its x-coordinate changing as it passes through the point $( 1,1 )$ ?

A Particle Starts at the Origin and Moves Along the Parabola