f(x)=(x-1)(x-2)(x-3).(x-10) 求f'(9)=?
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f(x)=(x-1)(x-2)(x-3).(x-10)求f''(9)=?f(x)=(x-1)(x-2)(x-3).(x-10)求f''(9)=?f(x)=(x-1)(x-2)(x-3).(x-10)求f''
f(x)=(x-1)(x-2)(x-3).(x-10) 求f'(9)=?
f(x)=(x-1)(x-2)(x-3).(x-10) 求f'(9)=?
f(x)=(x-1)(x-2)(x-3).(x-10) 求f'(9)=?
f'(x)=-10628640 + 25507152x - 25228500 x^2 + 13667720 x^3 -
4510275 x^4 + 946638 x^5 - 127050 x^6 + 10560 x^7 - 495 x^8 + 10 x^9
f'(9)=-40320
应用导数乘法法则很容易求解~规律很浅显的
(UV)~=U~V+UV~
(UVW)~=U~VW+UV~W+UVW~
......
说下 楼上的看错题了吧,人家求的是导数
f(9)=(9-1)(9-2)(9-3)……(9-10)
=8*7*6*5*4*3*2*1*0*(-1)
=0
求导后都等于0除了8*7*6*5*4*3*2*1*-1=-40320
所以f'(9)==-40320
f'(x)=[(x-1)(x-2)(x-3).......(x-10)]'
=[(x-1)(x-2)(x-3).......(x-8)(x-10)]'(x-9)
+[(x-1)(x-2)(x-3).......(x-8)(x-10)] (x-9)'
-->代入x=9
f'(9)
=0+(9-1)(9-2)(9-3)……（9-8）（9-10）
= -40320
=8*7*6*5*4*3*2*1*0*(-1)
=0
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