1/[(x-2)^2*(3x+1)^2]的导数是什么?
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1/[(x-2)^2*(3x+1)^2]的导数是什么?
再有1/(x-2)^2的导数呢?
再有1/(x-2)^2的导数呢?
![1/[(x-2)^2*(3x+1)^2]的导数是什么?](/uploads/image/z/8595404-44-4.jpg?t=1%2F%5B%28x-2%29%5E2%2A%283x%2B1%29%5E2%5D%E7%9A%84%E5%AF%BC%E6%95%B0%E6%98%AF%E4%BB%80%E4%B9%88%3F)
{ 1/[(x-2)^2*(3x+1)^2] }‘
={ 1/[(x-2)(3x+1)] ^2 }‘
=-2 / [(x-2)(3x+1)] ^3 *[(x-2)(3x+1)] '
=-2 / [(x-2)(3x+1)] ^3 * (3x^2-5x-2)‘
=-2 / [(x-2)(3x+1)] ^3 * (6x-5)
= -2 (6x-5)/ [(x-2)^3 (3x+1)^3 ]
{ 1/(x-2)^2 }'
=-2 * 1/(x-2)^3 * (x-2)'
=-2/(x-2)^3
={ 1/[(x-2)(3x+1)] ^2 }‘
=-2 / [(x-2)(3x+1)] ^3 *[(x-2)(3x+1)] '
=-2 / [(x-2)(3x+1)] ^3 * (3x^2-5x-2)‘
=-2 / [(x-2)(3x+1)] ^3 * (6x-5)
= -2 (6x-5)/ [(x-2)^3 (3x+1)^3 ]
{ 1/(x-2)^2 }'
=-2 * 1/(x-2)^3 * (x-2)'
=-2/(x-2)^3