Question

Differentiation with respect to another function

Answer 1

Hello friend
_________________________________________________________

I want to calculate the derivative of a function with respect to, not a variable, but respect to another function. For example:
                                       g(x)=2f(x)+x+log[f(x)] I want to compute                                    
                                              dg(x)/df(x) 
Can I treat f(x) as a variable and derive "blindly"? If so, I would get
                                     dg(x)df(x)=2+1f(x) 
and treat the simple x as a parameter which derivative is zero.
_________________________________________________________

Hope it helped u