The figure shows part of the curve \(y = x^2\). \(PQ\) is the tangent to this curve at \(P\).

Calculate

- the coordinates of \(Q\),

The point \(Q\) is the \(x\)-intercept of the tangent. Can we find the equation of the tangent at P, and so find Q?

- the area of the shaded region.

Could we view this region as the difference of two simpler regions?