作业帮设F(X)=(X-100)(X-99)……(X-1)X(X+1)(X+2)……(X+100) 求F"(0)=?求X=0的一阶导数
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设F(X)=(X-100)(X-99)……(X-1)X(X+1)(X+2)……(X+100) 求F"(0)=?求X=0的一阶导数
设F(X)=(X-100)(X-99)……(X-1)X(X+1)(X+2)……(X+100) 求F"(0)=?
求X=0的一阶导数
设F(X)=(X-100)(X-99)……(X-1)X(X+1)(X+2)……(X+100) 求F"(0)=?求X=0的一阶导数
下面这是求一阶导数的
f'(0)
=(X-100)’(X-99)……(X-1)X(X+1)(X+2)……(X+100)+(X-100)(X-99)’……(X-1)X(X+1)(X+2)……(X+100)+………………+(X-100)(X-99)……(X-1)X’(X+1)(X+2)……(X+100)+…………
=0+(X-100)(X-99)……(X-1)X’(X+1)(X+2)……(X+100)+0
=(-100)(-99)...*(-1)*1*2*...*100
=100!*100!
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