f(x)=(x-1)(x-2).(x-2008)求导
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f(x)=(x-1)(x-2).(x-2008)求导
![f(x)=(x-1)(x-2).(x-2008)求导](/uploads/image/z/19986877-37-7.jpg?t=f%28x%29%3D%28x-1%29%28x-2%29.%28x-2008%29%E6%B1%82%E5%AF%BC)
f(x)=(x-1)(x-2)...(x-2008)
f'(x)=(x-1)'*(x-2)...(x-2008)+(x-1)*(x-2)'*(x-3)...(x-2008)+...+(x-1)...(x-2007)*(x-2008)'
=(x-2)(x-3)...(x-2008)+(x-1)(x-3)...(x-2008)+...+(x-1)(x-2)...(x-2007)
f'(x)=(x-1)'*(x-2)...(x-2008)+(x-1)*(x-2)'*(x-3)...(x-2008)+...+(x-1)...(x-2007)*(x-2008)'
=(x-2)(x-3)...(x-2008)+(x-1)(x-3)...(x-2008)+...+(x-1)(x-2)...(x-2007)