(See attached file for full problem description with proper symbols)
Assume that f is continuous on [a,b], g is differentiable on [c,d], g([c,d]) [a,b] and
For each x [c,d].
For each x (c,d).
Given that f is continuous on [a,b], it follows that
dF = dg * f(g) ...
Differentiation of composite functions and integral forms are determined.