Hi there, can someone please provide me a detailed solution with full steps on the following Calc 1 questions. Thanks for your time.

Suppose f is a one-to-one, differentiable function and its inverse function f- is also differentiable. One can show, using implicit differentiation (do it!), that 1 ( f 1 )' (20 ) = 1 ( f - 1 ( 20) ) Find (f-1)' (3) if f(2) = 3 and f'(2) = 2/5. (f-1)'(3) =]Suppose f is a continuous function on the closed interval [4, 8] and the following values of f(x) are known: 4 5 6 8 f (z) -3 3 -4 -5 6 Of the following statements, select all that are always TRUE for a function with the above properties. [Hint: Try using the Intermediate Value Theorem!] DA. The equation f(a) = 0 has at least three solutions for a in the interval (4, 8). OB. The equation f(a) = 0 has at least one solution for x in the interval (4, 5). Oc. The equation f(z) = 0 has no solutions for a in the interval (6, 7). OD. The equation f(a) = 0 has exactly one solution for a in the interval (7, 8). DE. The equation f(x) = 0 has exactly two solutions for a in the interval (4, 6).\f