Differentiate a function wrt another function question - differentiate arcsin((2x)/(1+x^2)) with respect to arccos((1-x^2)/(1+x^2))

How do you do this ? f(x) = arcsin((2x)/(1+x^2)) , g(x) = arccos((1-x^2)/(1+x^2)) , then is df(x)/dg(x) = df(x)/dx * dx/dg(x) ?

Question

Differentiate a function wrt another function question - differentiate arcsin((2x)/(1+x^2)) with respect to arccos((1-x^2)/(1+x^2))

How do you do this ? f(x) = arcsin((2x)/(1+x^2))  , g(x) = arccos((1-x^2)/(1+x^2)) , then is df(x)/dg(x)  = df(x)/dx * dx/dg(x) ?

amistre64 · Answer

it hard to read it all in one line like that:

can you space it apart into individual concepts.

So that it can be deciphered better?