x - 6 Let F(x) = | (3- Vi+6) dt. Use F(x) in parts (a)-(d). ..... (a) Find F'(x). F'(x) = (b) Find the critical points of F. Use commas to separate values as needed. The critical point(s) of F is/are x =| (c) Find the intervals of increasing and decreasing for F. Use commas to separate the intervals as needed. Fis increasing on the interval(s) |and F is decreasing on the interval(s) (d) Find the equation of the tangent line to the graph of y = F(x) at x = 2. The tangent line to y = F(x) at x = 2 is given by

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