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## Homework Statement

Find a point P on y=x

^{3}such that the tangent at P intersects the original curve again at point Q so that the slope of the tangent at Q is 4 times the slope of the tangent at P.

## Homework Equations

y'=3x

^{2}

and the slope of the what I think it should be a secant line=(y2-y1)/(x2-x1)

## The Attempt at a Solution

I figured that 2P=Q because 3P

^{2}=(3/4)Q

^{2}and then by using algebra I expressed Q in terms of P.

I know this leads to somewhere, but im not sure what should I do next.