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求下列函数的微分:(1)y=(2x^3-3x^2+3)(根号x+1/x) (2)y=cos^3x^2
人气:226 ℃ 时间:2019-08-19 21:40:59
解答
  (1) y = (2x^3-3x^2+3)(√x+1/x) = 2x^(7/2)-3x^(3/2)+3x^(1/2)+2x^2-3x+3/x,
 dy = [7x^(5/2)-(9/2)x^(1/2)+(3/2)x^(-1/2)+4x-3-3/x^2]dx.
  (2) y = (cosx^2)^3,
 dy = 3[(cosx^2)^2](-sinx^2)(2x)dx.
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