This is Calculus 1 Work. How does this get answer?

1)

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. tan(x) y = f 5t + J: dt 3 y'= 5tan(x)+ tan(x)sec2(x) x Let g(x) = ((t) at, where f is the function whose graph is shown. 3 2 1 10 20 30 40 -1 -2 -3 (a) At what values of x do the local maximum and minimum values of g occur? Xmin = (smaller x-value) Xmin = (larger x-value) Xmax = (smaller x-value) Xmax = (larger x-value) (b) Where does g attain its absolute maximum value? X = (c) On what interval is g concave downward? (Enter your answer using interval notation.)