大学数学题,这题求导怎么做,做了好久都求不出来
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y = (x^2-x+1)x^(-3/2)
y' = (2x-1)x^(-3/2) + (x^2-x+1)(-3/2)x^(-5/2)
= (-3/2)[x(2x-1)+(x^2-x+1)]/x^(5/2)
= (-3/2)(3x^2-2x+1)/x^(5/2)
y' = (2x-1)x^(-3/2) + (x^2-x+1)(-3/2)x^(-5/2)
= (-3/2)[x(2x-1)+(x^2-x+1)]/x^(5/2)
= (-3/2)(3x^2-2x+1)/x^(5/2)
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