Question: 6. Consider the function f(x) = In(x + 2) - 2 arctan(x) a. Did all critical points in the domain of f. Write any critical

6. Consider the function f(x) = In(x + 2) - 2 arctan(x) a. Did all critical points in the domain of f. Write any critical points you find as an ordered pair. f ' ( x ) = - 1 - 2 X+2 f (-1) = In (1) - 2 tan-1 (-1) = I 2 f ( 3 ) = In(5 ) - 2 tan" ( 3 ) = -, 889 4 +2 = D (1 + x 2 ) - 2 ( x + 2) = 0 [-1, 2] [3-889 x 2 - 2 x - 3= 0 (x- 3) (x+ 1) = 0 *= - 1 3 b. Use the critical points you found above to determine the absolute maximum and absolute minimum value of f on the interval [2,6]

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