I will show my best attempt... I have a feeling that I am starting wrong
I start by taking the derivative of both sides...
leaving so
and this is how find the derivative of the first term...
I will leave that there and show the second term...
from here I put the two terms together to get...
This was my best attempt but I know it's wrong. If someone could explain if I am starting wrong or if my algebra is wrong and maybe push me in the right direction I would greatly appreciate it.
I think what you have done here write this as
which is correct, and then take terms inside the square root. But you did that incorrectly. so
.
It would be much better to just cancel that "2" with the initial "1/2"!
And it gets worse if you try to take "4y'" inside the square root! "implicit differentiation" always gives you and equation that is linear in y'. Don't make things complicated by changing y' to !
I will leave that there and show the second term...
from here I put the two terms together to get...
This was my best attempt but I know it's wrong. If someone could explain if I am starting wrong or if my algebra is wrong and maybe push me in the right direction I would greatly appreciate it.