Calculate the derivative: d dx So (8+3 - 7t) dt =Calculate the derivative d dt Jet V9 + x3 dx = Submit answerLet A(x) = So f(t) dt, with f(x) as in figure. 110 -1' 0.5 A(x) has a local minimum on (0, 6) at x = A(x) has a local maximum on (0, 6) at x =Let 9(90) : f0m f(t) dt, where f is the function whose graph is shown. Answer the following questions only on the interval [0, 10]. 1. At What values of a: does 9 have a local maximum? Answer (separate by commas): ac : 2. At What values of a: does 9 have a local minimum? Answer (separate by commas): ac : 3. At What value of as does 9 have an absolute maximum? Answer: a