Question

what is the derivative of cos(arcsin(2x))?

Answer 1

if you want you can write that as an algebraic expression and find the derivative of the equivalent algebraic expression

Answer 2

which do you prefer?

Answer 3

I dont't understand, what could be the algebraic expression?

Answer 4

Let y=arcsin(2x)
then sin(y)=2x
make a right triangle
then find cos(arcsin(2x))
or what we called it cos(y)