求y=(3x+1)/[(1-x^2)^(1/2)]导数.
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求y=(3x+1)/[(1-x^2)^(1/2)]导数.求y=(3x+1)/[(1-x^2)^(1/2)]导数.求y=(3x+1)/[(1-x^2)^(1/2)]导数.先求导[(1-x^2)^(1/2
求y=(3x+1)/[(1-x^2)^(1/2)]导数.
求y=(3x+1)/[(1-x^2)^(1/2)]导数.
求y=(3x+1)/[(1-x^2)^(1/2)]导数.
先求导[(1-x^2)^(1/2)]‘令1-x^2=t,所以=(t^(1/2))'*t'= ( 1/2)*(1-x^2)^(-1/2)*(-2x) =-x(1-x^2)^(-1/2) 接下来使用求导公式中的除法求导公式,y'={3[(1-x^2)^(1/2)]-(3x+1)(-x(1-x^2)^(-1/2))}/(1-x^2)
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