Final answer:
a) Use the chain rule to find the derivative of f. b-d) More information is needed to find the derivative of g, the value of f(5), and the derivative of g(5).
Step-by-step explanation:
a) To find the derivative of f, we can use the chain rule. If g(x) is the function inside f, then the derivative of f(g(x)) with respect to x is f'(g(x)) * g'(x). So, the derivative of f is f'(x) = f'(g(x)) * g'(x).
b) To find the derivative of g, we need more information about the function g. Knowing g(5) = 2 is not enough to find the derivative.
c) To find the value of f(5), we need more information about the function f. Knowing only that f and g are differentiable functions is not enough to determine the value of f(5).
d) To find the value of g'(5), we need more information about the function g. Knowing only that g(5) = 2 is not enough to determine the derivative at x = 5.