Why do we use the Chain Rule to find the derivative of the inverse sine?
#arcsinx# or #sin^-1x# is not a composite function, so why do we apply the Chain Rule to find the derivative?
1 Answer
Apr 6, 2018
Interesting question...
Explanation:
First, note here that
In the derivative, the domain is
Essentially, we limit the range of
This way, it is a function.
(By the way, we use a capital A for arcsin to represent it as a function.)
Also, if you look at the graph of the derivative, the function "explodes" as it reaches