已知f(x)=(x+1)(x+2)(x+3)……(x+100),求(f(x))的导数
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已知f(x)=(x+1)(x+2)(x+3)……(x+100),求(f(x))的导数
![已知f(x)=(x+1)(x+2)(x+3)……(x+100),求(f(x))的导数](/uploads/image/z/16981594-34-4.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3D%28x%2B1%29%28x%2B2%29%28x%2B3%29%E2%80%A6%E2%80%A6%EF%BC%88x%2B100%29%2C%E6%B1%82%EF%BC%88f%28x%29%29%E7%9A%84%E5%AF%BC%E6%95%B0)
f(x)=(x+1)(x+2)(x+3)......(x+100),
lnf(x)=ln(x+1)+ln(x+2)+...+ln(x+100)
ln'f(x)=f'(x)/f(x)=1/(x+1)+1/(x+2)+.+1/(x+100)
f'(x)=f(x)*[1/(x+1)+1/(x+2)+...+1/(x+100)]
lnf(x)=ln(x+1)+ln(x+2)+...+ln(x+100)
ln'f(x)=f'(x)/f(x)=1/(x+1)+1/(x+2)+.+1/(x+100)
f'(x)=f(x)*[1/(x+1)+1/(x+2)+...+1/(x+100)]
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