Question

Whats a "chain rule factor"?

Answer 1

never heard of it

Answer 2

For example, if y = (4x + 1)^3 then
dy/dx = 3(4x+1)^2 (using power rule) * d/dx (4x + 1) (using chain rule)
dy/dx = 3(4x + 1)^2 * 4 = 12(4x + 1)^2

May be the factor of 4 that results from the chain rule is what is being called as the "chain rule factor".

Answer 3

the chain rule factor is using substitution
dy/dx = dy/du*du/dx
using the example by aum above
if y = (4x + 1)^3
then let u =4x + 1
so y = u^3 and dy/du = 3u^2 and du/dx = 4
dy/dx = dy/du*du/dx = 3u^2*4 = 12u^2
= 12 ( 4x + 1)^2