x-1的导数怎么求

冀悦紫2731函数1/x(x - 1)的n阶导数怎么求 -
邢霍往15376263989 ______[答案] y=1/(x(x-1)) x(x-1)y=1 求n次导数: 设f=x(x-1),g=y

冀悦紫2731求y=x - 1分之x+1的导数 -
邢霍往15376263989 ______[答案] y=(x-1)/(x+1)=(x-1+2)/(x-1)=1 +2/(x-1) y'=[1+2/(x-1)]' =1'+[2/(x-1)]' =0+[(-1)*2/(x-1)²](x-1)' =2/(x-1)² 或者直接利用公式(u/v)'=(u'v-uv')/v²来 y'=[(x+1)'(x-1)-(x-1)'(x+1)]/(x-1)² =[(x-1)-(x+1)]/(x-1)² =2/(x-1)²

冀悦紫2731怎么求1/X的导数 -
邢霍往15376263989 ______[答案] 你要求导数只能求一点的导数 然后将每一点的导数连在一起就是导函数 首先可以由公式得1/x的导函数为 -1/x^2 现在求1/x再x'这一点的导数 由定义它的导数为 limx→x' (1/x-1/x')/(x-x')=limx→x' [(x'-x)/(x*x')]/(x-x') =limx→x' -1/(x*x') = -1/x'^2 所以对于所有的x...

冀悦紫2731设函数f(x)=(x - 1)sinx+e^x求其导数和微分 -
邢霍往15376263989 ______[答案] f(x)=(x-1)sinx+e^x f'(x)=[(x-1)'sinx+(x-1)(sinx)']+e^x =sinx+(x-1)cosx+e^x. 所以函数的导数为: y'=sinx+(x-1)cosx+e^x. 函数的微分为: dy=[sinx+(x-1)cosx+e^x]dx.

冀悦紫2731(x - 1)的2/3次方的导数怎么求,写出过程,谢谢大家了 -
邢霍往15376263989 ______[答案] 因为x^n的求导公式是(x^n)' = nx^(n-1), 所以 (x-1)^(2/3) = 2/3(x-1)^(2/3-1) = 2/3(x-1)^(-1/3)

冀悦紫2731函数的导数,1 - x分之x的导数怎么求 -
邢霍往15376263989 ______[答案] 解y=x/(1-x) =[-(1-x)+1]/(1-x) =-1+1/(1-x) =-1-1/(x-1) 求导得y' =[-1-1/(x-1)]' =-[-1/(x-1)^2(x-1)'] =1/(x-1)^2.

冀悦紫2731y=x的平方+根号下【X - 1/X+1】的导数怎么求啊 -
邢霍往15376263989 ______[答案] y=x²+√(x-1/x+1)=x²+(x-1/x+1)^½ y'=2x+1/2(x-1/x+1)^(1/2-1)*(x-1/x+1)' =2x+1/2(x-1/x+1)^(-½)*(1+1/x²) =2x+(1+1/x²)/2√(x-1/x+1) 前面的x²求导好求,后面的√(x-1/x+1)需要层层求导,先化成指数式(x-1/x+1)^½,然后要根据x^n的求导公式 {x^n的...

冀悦紫2731求n阶导数y=xln(x - 1)的n阶导数 用莱布尼兹公式怎么做 或者其他的方法 -
邢霍往15376263989 ______[答案] y'=ln(x-1)+x/(x-1) y''=1/(x-1)+[(x-1)-x]/(x-1)^2=1/(x-1)-1/(x-1)^2 y'''=-1/(x-1)^2+1/[2(x-1)^3] y^(4)=1/[2(x-1)^3]-1/[2*3*(x-1)^4] 设y^(n... (x-1)^(n-1)]-(-1)^(n+1)/[(n-1)!(x-1)^n] (n>1) 则[y^(n)]'=y^(n+1)=(-1)^(n+1)/[(n-2)!(n-1)(x-1)^n]-(-1)^(n+2)/[(n-1)!*n(x-1)^(n+1)] =(-1)...

冀悦紫2731设函数fx=x(x - 1)(x - 2)……(x - 100)求x=1的导数 -
邢霍往15376263989 ______[答案] 解函数fx=x(x-1)(x-2)……(x-100) =(x-1)x(x-2)……(x-100) 则f'(x)=[(x-1)x(x-2)……(x-100)]' =(x-1)'x(x-2)……(x-100)+(x-1)*[(x-1)x(x-... =1*x(x-2)……(x-100)+(x-1)*[(x-1)x(x-2)……(x-100)]' 即f'(x)=1*1*(1-2)……(x-100)+(1-1)*[(x-1)x(x-2)……(x-100)]' =1*1*(1-2)…...

冀悦紫2731比如X - 1/X这个函数它的导数求不出来是不是没有意义..这代表什么呢.如果不行怎么求它的值域呢. -
邢霍往15376263989 ______[答案] y = x - 1/x y' = 1 + 1/x^2 > 0 它的导数是恒大于0的 你让导数等于0,当然解不出x 函数的定义域是 (-无穷,0)∪(0,+无穷) 说明在这两个区间都是单调递增的 值域是 R