Tag Archives: chain rule

Basic Analysis: Differentiation (1)

In this article, we’ll look at differentiation more rigourously and carefully. Throughout this article, we suppose f is a real-valued function defined on an open interval (b, c) containing a, i.e. f : (b, c) → R with b < a < c. Theorem. The derivative of f(x) at a is … Continue reading

Posted in Notes | Tagged , , , , , | Leave a comment

Thinking Infinitesimally – Multivariate Calculus (II)

Chain Rule for Multivariate Calculus We continue our discussion of multivariate calculus. The first item here is the analogue of Chain Rule for the multivariate case. Suppose we have parameters f, u, v, x, y, z. Suppose {u, v} are independent parameters (in particular, … Continue reading

Posted in Notes | Tagged , , , , , , , | Leave a comment