# Math Help - Problem (differentiation chapter)

1. ## Problem (differentiation chapter)

(i) Sketch the curve y = exp(-x^2).

(ii) Show that the minimum distance of a point on the curve from the origin is [(1+ln2) / 2]^0.5.

NO IDEA

Thanks in advance for any help.

2. Originally Posted by yobacul
(i) Sketch the curve y = exp(-x^2).

(ii) Show that the minimum distance of a point on the curve from the origin is [(1+ln2) / 2]^0.5.

NO IDEA

Thanks in advance for any help.
Hi

A point M(x,y) is on the curve iff $y = e^{-x^2}$

The distance between M and the origin is $OM = \sqrt{x^2 + y^2}$