设函数y=x^x则dy=-搜答案-神马作文网

y'=(x^x)'+(ln(arctan5x)'设f(x)=x^xlnf(x)=xlnx1/f(x)f'(x)=lnx+1f'(x)=f(x)(lnx+1)=x^x(lnx+1)ln(arctan5x

dy=f'(-x²)d(-x²)=-2xf'(-x²)dx

dy/dx=3x^2+(2^x)*ln2

复合函数求导令1/x=udy/dx=dy/du*du/dx=(3^u)'*(1/x)'=ln3*3^u*(-1/x²)=-1/x²*3^(1/x)*ln3

复合函数求导法：y=f(u),u=x^2arccox+tanxy'=f'(u)u'=f'(u)[2xarccosx-x^2/√（1-x^2)+(secx)^2]=f'(x^2arccosx+tanx)

dy什么意思?再问：对y的求导再答：（2x+2^x）cos（2x+2^x）

对dy=cos(1+x)d(1+x)=cos(1+x)dx

dy/dx=0.5(x+1)^-0.5x=0时,dy/dx=0.5

y=e^(xlnx)+ln[arctan(5x)]dy/dx=e^(xlnx)[lnx+1]+1/arctan(5x)*[1+(5x)^2]^(-1)*5=x^x[lnx+1]+5/{arctan(5

dy=[1/(x³+1)]*d(x³+1)=3x^2dx/(x³+1)再问：^是什么意思再答：x^n就是表示X的n次方

dy/dx=2x+2^(x^2)/ln2(2x)

dy/dx=3*cos(3x+1)再问：dy/dx什么意思呢再答：y对x的导数

答：dy/dx=y'=(ln2+x^3+2^x)'=(ln2)'+(x^3)'+(2^x)'=0+3x^2+ln2*2^x=3x^2+2^xln2

两边同时取对数,再求导.再问：额还是不会再答：lny=xln(x^2+1)，两边同时求导数

dy=d(ln(x-2))=(1/(x-2))*d(x-2)=(1/(x-2))dx所以,dy/dx=1/(x-2)

做任务的.

dy=d[cos2x/(x-1)]=y'dx={[-2sin2x*(x-1)-cos2x]/(x-1)^2}dx=-[2sin2x*(x-1)+cos2x]/(x-1)^2dx

函数f(x)可导,设其导函数为g（x）dy/dx=df(x^2)/dx=g（x^2)*dx^2/dx=2x*g(x^2)

设函数y=x^x,则dy=

y=x^x那么lny=xlnx两边对x求导得：y'/y=lnx+1所以y'=y(1+lnx)即dy/dx=y(1+lnx)=x^x*(1+lnx)所以dy=x^x*(1+lnx)dx如果不懂,祝学习愉

ln(x+y)=x·lny(1+y‘)/(x+y)=lny+x/y·y‘y+y·y‘=y(x+y)lny+x(x+y)·y‘y‘=【y(x+x)lny-y】/【y-x(x+y)】再问：лл��