Which of the following is not a necessary condition for Cauchy’s Mean Value Theorem?
(a) The functions, f(x) and g(x) be continuous in [a, b]
(b) The derivation of g'(x) be equal to 0
(c) The functions f(x) and g(x) be derivable in (a, b)
(d) There exists a value c Є (a, b) such that, \(\frac{f(b)-f(a)}{g(b)-g(a)} = \frac{f'(c)}{g'(c)}\)
The question was asked in an international level competition.
The question is from Cauchy’s Mean Value Theorem in division Differential Calculus of Engineering Mathematics