Calculation of $df(x)/dg(x)$

Question

How does one calculate $df(x)/dg(x)$ where f and g are two unrelated functions of x?

What is your definition of $df(x)/dg(x)$? – uniquesolution Oct 16 '20 at 20:47 — uniquesolution, Oct 16 '20 at 20:47

score 1 · Answer 1 · answered Oct 16 '20 at 20:47

1

By the Chain Rule, $\frac{df(x)}{dg(x)}\frac{dg(x)}{dx} = \frac{df(x)}{dx}$. Thus, $\boxed{\frac{df(x)}{dg(x)} = \frac{f'(x)}{g'(x)}}$

answered Oct 16 '20 at 20:47

Joshua Wang

1 Answers1