1. The problem statement, all variables and given/known data when is this statement true : the derivative df/dg of the function f(g) exists what does this mean exactly? 2. Relevant equations 3. The attempt at a solution does it mean- 1. df/dg represents the rate of change of f with respect to g at any given value of g. or 2.df/dg is the ratio of two small differences, df and dg, either of which may be positive or negative. 0r 3.df/dg is a function, called a derivative, which is always less than the value of f(g) at any given value of g, that is, df/dg < f for all values of g. i think the solution is 1. because- definition of differentiation is: Differentiation is a method to compute the rate at which a dependent output y changes with respect to the change in the independent input x. This rate of change is called the derivative of y with respect to x. In more precise language, the dependence of y upon x means that y is a function of x.