How to differentiate functions with respect to other functions

[teng125]

differentiate inverse tan (2x / [1 - x^2] ) with respect to inv sin ( 2x / [1 + x^2] ).

may i know what does it mean with respect to inv sin and how to start wif this ques pls

 

[HallsofIvy]

Chain rule: derivative of f(x) with respect to h(x) is
$$\frac{df}{dh}= \frac{df}{dx}\frac{dx}{dh}= \frac{\frac{df}{dx}}{\frac{dh}{dx}}$$