Points $P(2p^2,\displaystyle\frac{1}{p})$ and $Q (2q^2,\displaystyle\frac{2}{q})$ lies on a curve.
Find the gradient of $PQ$ and also the equation of line $PQ$.
I’ve found the gradient of $PQ$ to be $\displaystyle\frac{-1}{2pq(p+q)}$
The equation of line $PQ$ is $2(p+q)pqy+x=2(p^2+pq+q^2)$
Deduce the equation of tangents at $P$ and $Q$ to the curve. Hence, find the coordinates of the intersection point of tangent at $P$ and tangent at $Q.$
How do I deduce the equation of tangents at $P$ and $Q$ to the curve?