Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I was wondering how this was derived

$f(x)= h(g(x))$

$f''(x) = g'(x)^T\nabla^2{h(g(x)}g'(x) + \nabla(g(x))^Tg''(x)$

share|cite|improve this question

migrated from Jan 10 '13 at 8:13

This question came from our site for people interested in statistics, machine learning, data analysis, data mining, and data visualization.

What are the domains of the various functions? It appears that $f$ is a function of one variable, $h$ is a function with domain some subset of $\mathbb{R}^d$, and $g$ is a vector-valued function on one variable? I am basing the above on the notations you used. – Willie Wong Jan 10 '13 at 9:09

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.