求y=(x-2)(x+1)/2(×-1)³的导数
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y = (x-2)(x+1)/[2(×-1)³] = (1/2)(x-2)(x+1)(×-1)^(-3)
y' = (1/2)[(x+1)(×-1)^(-3) + (x-2)(×-1)^(-3) - 3(x-2)(x+1)(×-1)^(-4)]
= [(x+1)(×-1) + (x-2)(×-1) - 3(x-2)(x+1)]/[2(×-1)^4] = (7-x^2)/[2(×-1)^4]
y' = (1/2)[(x+1)(×-1)^(-3) + (x-2)(×-1)^(-3) - 3(x-2)(x+1)(×-1)^(-4)]
= [(x+1)(×-1) + (x-2)(×-1) - 3(x-2)(x+1)]/[2(×-1)^4] = (7-x^2)/[2(×-1)^4]
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