How do you differentiate #f(x)= (x-1)/(x+1)^3# using the quotient rule?
Using the quotient rule, you may let
In order to solve this you would use
Simply, the chain rule can be used so that
which, after expanding =
Now with the knowledge of the derivatives of u and v, you can differentiate the function using the quotient rule by substituting in the v and u values:
After simplifying, this gives:
Which is your final answer.