hello!谁能告诉我:y=(x-1)(x-2)(x-3)...(x-100)的导数怎么求?再帮忙...
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发布时间：2024-09-30 06:10
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最高为X的100次方 当n>100时，导数=0 n=100时，导数=100！小于100时是多项式
求函数Y=(x-1)(x-2)……(x-100)的导数(X大于100)先对中间变量求导，中间变量再对x求导 [ln(x-1)]'+[ln(x-2)]'+...+[ln(x-100)]'=1/(x-1)+1/(x-2)+...+1/(x-100)所以 y'/y=1/(x-1)+1/(x-2)+...+1/(x-100)y'=y[1/(x-1)+1/(x-2)+...+1/(x-100)]y'=(x-1)(x-2)...(x-100)[1/(x-1)+...
高数题y=x(x-1)(x-2)(x-3)...(x-99)(x-100) 求y‘(对y求导)???f‘（x）=(x-1)(x-2)(x-3）...（x-99）（x-100）+x(x-2)(x-3）...（x-99）（x-100）+x(x-1)(x-3）...（x-99）（x-100）+……+x(x-1)(x-2)(x-3）...（x-99）
怎么求导数,这题有什么公式求吗,帮我写下具体过程好不好,谢谢拜托了...求：y=-2x/(x-1)^2 的导数：解：y' = -2[(x-1)^2-2x(x-1)]/(x-1)^4 = 2(x+1)/(x-1)^4 所用的公式有：y(x)=Cf(x) y'=Cf '(x)y(x)=a(x)/b(x) y'=(a'b-ab')/b^2 y=(d-x)^2 y'=2(d-x)(-1)=2(x-d)......
函数f(x)=x(x-1)(x-2)(x-3)...(x-100)在x=0处的导数值为?紧急!是0啊,把前两项看成一项,后面看成一项,则先对x(x-1)求导得2x,后面的就不用问了,因为x=0.
根号下 (x-1)(x-2)(x-3)(x-4)...(x-100)的导数怎么求?0.5lnf(x)=ln(x-1)+ln(x-2)+..+ln(x-100)0.5f'(x)/f(x)=1/(x-1)+1/(x-2)..+1/(x-100)f'(x)=2[1/(x-1)+1/(x-2)+..+1/(x-100)](x-1)(x-2)..(x-100)
F(x)=x(x-1)(x-2)(x-3)………(x-100),求F(1)的导数.具体点,有步骤!麻 ...F'(x)=x'*(x-1)(x-2)………(x-100)+x(x-1)'*(x-2)………(x-100)+x(x-1)(x-2)'………(x-100)+……+x(x-1)(x-2)………(x-100)'=(x-1)(x-2)………(x-100)+x(x-2)………(x-100)+x(x-1)………(x-100)+……+x(x-1)(x-2)………(x-99)除了...
f(x)=(x-1)(x-2)...(x-100)求f'(99)。怎么运算?解；设g(x)=x-99 h(x)=(x-1)(x-2)…(x-98)(x-100)g '(x)=1 则f(x)=g(x)·h(x)求导得：f '(x)=g '(x)h(x)+g(x)h '(x)把x=99代入上式得：f '(99)=g '(99)h(99)+g(99)h '(99)=g '(99)h(99)+0 =1×98×97×96×…×1×(-1)=-98！答案：...
请教已知函数f(x)=x(x-1)(x-2)(x-3)(x-4)...(x-100),求f'(1)=? f...=99!=100!用导数极限定义来解题
x(x-1)(x-2)(x-3)...(x-n)导数怎么求啊y=x(x-1)(x-2)(x-3)……(x-n)n阶导数为(n+1)!x-n(n+1)/2 观察y=x(x-1)(x-2)(x-3)……(x-n)的最高次数项为x^(n+1)求n阶导后成为(n+1)!x 第二高次数项为-(1+2+3+……+n)x^n 求n阶导后取系数成为-n(n+1)/2 所以y的n阶导数为(n+1)!x-n(n+1)/...
