x-1的导函数

卫度于4060谁的导数等于.、谁的导数是 1-----x - 1 -
养秋春17697302896 ______[答案] ln(x-1)导数是1/(x-1)

卫度于4060x²/x - 1 的导数? -
养秋春17697302896 ______ x²/(x-1)的导数是:[x²/(x-1)]'=[(x²)'*(x-1)-x²*(x-1)']/(x-1)²=[2x*(x-1)-x²*1]/(x-1)²=(2x²-2x-x²)/(x-1)²=(x²-2x)/(x-1)²

卫度于4060(X/(X - 1))的导数? -
养秋春17697302896 ______ X/(X-1) =1+1/(X-1) (X/(X-1))′ =-1/(X-1)² 数学辅导团为您解答

卫度于4060求y=x - 1分之x+1的导数 -
养秋春17697302896 ______[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

卫度于4060怎么求1/X的导数 -
养秋春17697302896 ______[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...

卫度于4060f(x - 1/x)=lnx,求f(x)的导数 -
养秋春17697302896 ______[答案] f(x-1/x)=lnx,求f(x)的导数 设x-(1/x)=u,则x²-1=ux,x²-ux-1=0,x=[u+√(u²+4)]/2; 【因为x>0,故根号前只取正号】 故f(u)=ln{[u+√(u²+4)]/2}; 把u换成x得f(x)=ln{[x+√(x²+4)]/2}=ln[x+√(x²+4)]-ln2; ∴f '(x)=[1+x/√(x²+4)]/[x+√(x²+4)]=[x+√(x²+4)]/[x...

卫度于4060设函数fx=x(x - 1)(x - 2)……(x - 100)求x=1的导数 -
养秋春17697302896 ______[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-2)……(x-100)]' =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)]' ...

卫度于4060求函数y=(x - 1)(x - 2)(x - 3)…(x - 100)的导数已知lnx对x求导为1/xlny=ln(x - 1)+ln(x - 2)+.+ln(x - 100)lny对x求导(lny)'先对中间变量y求导,y再对x求导即为y'/yln(x - 1)+ln(x... -
养秋春17697302896 ______[答案] 如果 y=2x ,y'=1?(y=f(x) ,(lny)'=1/y ) 不是的吧.因为y是关于x的函数,实际上把它写完全就是ln'(f(x)) d(ln(f(x))/df(x)先以f(x)为自变量,再以x为自变量df(x)/dx 你把它乘起来,就是d(ln(f(x))/dx ,也就是对x求导了

卫度于4060函数的导数,1 - x分之x的导数怎么求 -
养秋春17697302896 ______[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.