>>9536761Hey, no worries man, glad I could help. That's really what it comes down to:
You have a nested stack of functions; you take the derivative of the outermost one, keeping what's inside the same. At the same time, you "copy" what's inside and multiply its derivative by the outside.
For example, the derivative of (x^2 +1)^(3/2):
The outer function is Y^(3/2), where Y is x^2 +1
The inner function is x^2 + 1
The derivative of the outer function is (2/3)Y^(1/2), which becomes (2/3)(x^2 +1)^(1/2)
The derivative of the inner function, obviously, is just 2x
Thus, the entire derivative becomes (2x)(2/3)(x^2+1)^(1/2)