First of all, if then
and if then .
Hi everyone,
I've been trying to solve a quite complex equation using both the chain rule and the quotient rule of differentiation. I think I have a handle on the first part of the equation (the top row), but please see the attached document with my full working and verify that I am correct. Secondly, I am unsure how to proceed with solving the equation after that, since I have to manipulate the (bottom squared) part and I am unsure whether I need to expand using chain rule, or simply expand. So any help solving this problem will be much appreciated!
Here is the attached full workings:
As you can see, I now need to work with the (bottom squared) portion of the equation. I am unsure how to proceed.
Many thanks,
Nathaniel
UPDATE:
I think I've incorporated Prove It's corrections, and am again up to the last section of the equation where I need to take the squared bottom part of the equation into account.
Here are my current workings and where I am up to:
From there, how do I finish solving the equation? Do I need to differentiate the bottom, or expand it normally? Or is the answer correct as it is?
Many thanks,
Nathaniel