



 
Hi Paulina, Let $P(x, y)$ be a point on the graph of $y = x^2 + 1$, let $O$ be the origin and $Q$ the point $(x, 0).$ Since $P$ is on the graph we know that $y = x^2 + 1$ and hence the distance from $Q$ to $P$ is $y = x^2 + 1.$ Use Pythagoras Theorem to write $D$ the distance from $O$ to $P$ as a function of $x.$ Differentiate $D$ with respect to $t.$ Penny




Math Central is supported by the University of Regina and the Imperial Oil Foundation. 