This past week was EXTREMELY confusing at first and to be honest I was really lost with the Chain Rule, but me and Chauvin sat down at his house one night and we had like an epiphany and weren’t lost anymore. So I will come explain how to do the chain rule because I fully understand it now! To start, you need to know that the chain rule, like everything else in calculus, has a formula to it. To begin the formula you need to figured out what “u” equals and what “y” equals. In simpler terms, figure out whats on the inside and whats on the outside. The you use the Chain Rule which says that you put:
Derivative of the outside (recopy inside) times the (derivative of the inside)
An Example:
Sq. root of ( x – 4 )
-recopy as ( x – 4 )^ ½
- y = u^1/4 and u = x – 4
-1/2 ( x – 4 ) * ( 1 ) (its 1 because the derivative of x – 4 is 1)
-so simplify that and you get x/2 + 2 and that’s the derivative of sq. root of ( x – 4 ) using the chain rule.
NOW EVERYONE STUDY FOR THE EXAM!!!!!!!!!!!!!!
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