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y=1/(x2+5x+6) 求y的n阶导(0)x=0时

x^2+5x+6= (x+2)(x+3) 1/(x^2+5x+6) = 1/(x+2) - 1/(x+3) y1 = 1/(x+2) y1' = -1/(x+2)^2 y1^(n) = (-1)^n. n!/(x+2)^(n+1) y2 = 1/(x+3) y2' = -1/(x+2)^2 y2^(n) = (-1)^n. n!/(x+3)^(n+1) y^(n) = y1^(n)+y2^(n) =(-1)^n. n! [ 1/(x+2)^(n+1)...

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