I think my biggest problem is that I don't know what I am solving in the real world when I solve an equation so I have no idea how to layout the problem to now do the math.

Here is what I know

- a particle is moving along a curve

curve is y= 2(x^3) - (x^2)

one point on the curve is (2, 12) and its x-coordinate increases at a rate of 4cm/s

Question: How fast is the distance from the particle to the origin changing at this instant?

I am sure I will find the derivative which is y' = 6x^2 - 2x but I really don't know what to do from there.

Guidance is appreciated. I am exhausted so I will be reading replies tomorrow - if you could lay out the steps of what I am solving I would appreciate it.

Thanks in advance