hi! stuck on these problems, would you mind helping please? thanks!

Part 1: A derivative computation using the chain rule Suppose F(x) is any function that is differentiable for all real numbers x. Evaluate the following derivative. d dx ( F(x*) ) = 0 Enter the derivative of F(x) as F'(x) using prime notation. Your answer should be in terms of F" and other functions of the variable x.(1 point) Use part I of the Fundamental Theorem of Calculus to find the derivative of y = 4 4 2-5x 1 + 42 du dy dx 0 [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ](1 point) Let A(x) = of(t) di, with f(x) as in figure. A(x) has a local minimum on (0, 6) at x = A(x) has a local maximum on (0, 6) at x =