1. The problem statement, all variables and given/known data If the functions f and g are defined so that f'(x) = g'(x) for all real numbers x with f(1)=2 and g(1)=3, then the graph of f ad the graph of g: Is the answer that they do not intersect? The other choices are: intersect exactly 1 time intersect no more than 1 time could intersect more than 1 time have a common tangent at each pt. of tangency. How would I be able to prove this? #2) If the function g is differentiable at the point (a, g(a)), then which of the following are true? g'(a) = lim g(a+h) - f(a) h g'(a) = lim g(a)-g(a-h) h g'(a) = lim g(a+h)-g(a-h) h I think that it is only the first one can be correct. Can any of the others be correct? (Above, the h is on the end, but the h should be under the numerator.