f(x)=(x-2006)(x-2007)(x-2008)(x-2009)最小值?

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f(x)=(x-2006)(x-2007)(x-2008)(x-2009)最小值?
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f(x)=(x-2006)(x-2007)(x-2008)(x-2009)最小值?
f(x)=(x-2006)(x-2007)(x-2008)(x-2009)最小值?

f(x)=(x-2006)(x-2007)(x-2008)(x-2009)最小值?
f(x)=(x-2006)(x-2007)(x-2008)(x-2009)
设a=x-2009
则(x-2006)(x-2007)(x-2008)(x-2009)
=a(a+1)(a+2)(a+3)
=(a^2+3a)(a^2+3a+2)
=(a^2+3a)^2+2(a^2+3a)
=(a^2+3a+1)^2-1
=[(a+3/2)^2-5/4]^2-1
因为[(a+3/2)^2-5/4]^2≥0,所以[(a+3/2)^2-5/4]^2-1≥-1
所以f(x)=(x-2006)(x-2007)(x-2008)(x-2009)最小值是-1

x=2006.5,f(x)=-15/16

f(x)=[(x-2006)(x-2009)][(x-2007)(x-2008)]
=[(x²-4015)+4030054][(x²-4015)+4030056]
=(x²-4015)²+8060110(x²-4015)+16241343303024
令a=x²-4015x
=(x-4015/2)²...

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f(x)=[(x-2006)(x-2009)][(x-2007)(x-2008)]
=[(x²-4015)+4030054][(x²-4015)+4030056]
=(x²-4015)²+8060110(x²-4015)+16241343303024
令a=x²-4015x
=(x-4015/2)²-16120225/4>=-16120225/4
y=f(x)=a²+8060110a+16241343303024
=(a+4030056)²-1
a>=-16120225/4=-4030056.25
对称轴x=-4030056
所以x=-4030056，y最小=-1

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f(x)=x,x f(x)=(x-2006)(x-2007)(x-2008)(x-2009)最小值? f(x)=x^2+x (x f(X)=f(X+2)(x 函数 f(x)=(x-1)(x-2)(x-3)...(x-2007) 则f'(2007)=? 函数 f(x)=(x-1)(x-2)(x-3)...(x-2007) 则f'(2007)=? f(x)=(4^x)/(4^x+1),求f(1/2007)+f(2/2007)+……+f(2006/2007) f(x)=sinx,求导f('f(x)),f(f'(x)),[f（f(x)）]' 高等数学f(x)=x√x,f'(x)=? f(x)-xf(-x)=1/x,求f(x) f(-x)+xf(x)=x,求f（x） | f(x) | / | g(x) | = | f(x)/g(x) | 吗? f(x)=x|x|+2x (x f(x)=｛x x≥0-x X 已知函数f(x)是偶函数,g(x)是奇函数,且满足g(x)=f(x-1),则f(2006)+f(2007)+f(2008)= f(x)=(sin2x)/x f(x)=x(mod f(x)=|x|(-pi