10. (points) Consider a function y = f(x) represented by the graph below. Let F(z) = ["s(e) dt (a) (2 points) What is F"

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10 Points Consider A Function Y F X Represented By The Graph Below Let F Z S E Dt A 2 Points What Is F 1 (40.17 KiB) Viewed 25 times

10. (points) Consider a function y = f(x) represented by the graph below. Let F(z) = ["s(e) dt (a) (2 points) What is F"(x)? (Hint: you don't need to write down a formula for F"(t). Use FTC, 1.) (b) (3 points) Find critical points of F. (Hint: you know F") (c) (3 points) Find points of inflection of F. (Hint: you actually know a lot about F" from the graph of Fl.) (d) (3 points) Find all local and global extrema of F. (Hint: you will need to find integrals here: use areas of simple know figure and rules for integrals to help you.) (e) (3 points) Sketch y = F(x) and mark all the special points.