若f(X)=X(X-1)(X-2).(X-100),则f‘(0)=?
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若f(X)=X(X-1)(X-2).(X-100),则f‘(0)=?
把(x-1)(x-2)...(x-100)看成一个整体
f(x)=x(x-1)(x-2)...(x-100)
f'(x)=x ' *[(x-1)(x-2)...(x-100)]+x[(x-1)(x-2)...(x-100)]‘
=(x-1)(x-2)...(x-100)+x[(x-1)(x-2)...(x-100)]‘
f‘(0)=100!
再问: f'(x)=x ' *[(x-1)(x-2)...(x-100)]+x[(x-1)(x-2)...(x-100)]‘ =(x-1)(x-2)...(x-100)+x[(x-1)(x-2)...(x-100)]‘ f‘(0)=100! 请您再给我稍微解释一下这几个步骤,麻烦了!(最好是有公式的那种)谢谢您了!
再答: �
f(x)=x(x-1)(x-2)...(x-100)
f'(x)=x ' *[(x-1)(x-2)...(x-100)]+x[(x-1)(x-2)...(x-100)]‘
=(x-1)(x-2)...(x-100)+x[(x-1)(x-2)...(x-100)]‘
f‘(0)=100!
再问: f'(x)=x ' *[(x-1)(x-2)...(x-100)]+x[(x-1)(x-2)...(x-100)]‘ =(x-1)(x-2)...(x-100)+x[(x-1)(x-2)...(x-100)]‘ f‘(0)=100! 请您再给我稍微解释一下这几个步骤,麻烦了!(最好是有公式的那种)谢谢您了!
再答: �
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