Question: 1. Given that f and g are differentiable everywhere, g is the inverse of f, and that f(3) = 4, f'(3) = 6, f'(4) = 7, find g'(4).
2. An increasing function f(x) has the value f(10) = 5. Explain how you know that the calculations f'(10) = 8 and (f-1) (5) = 8 cannot both be correct.