How do you find f'(x) and f''(x) given #f(x)=x^2/(1+2x)#?
1 Answer
Aug 1, 2017
Explanation:
We're asked to find the first and second derivative of
First Derivative:
Use the quotient rule, which states
where

#u = x^2# 
#v = 2x+1# :
Second derivative:
Use quotient rule again, this time

#u = 2x^2+2x# 
#v = (2x+1)^2# :
Use the chain rule on the
Simplifying yields