y=ln(2x-5)求导
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复合函数f(x)=lnxg(x)=ln[ln(x)]r(x)=ln{lnln(x)]}r'(x)=[1/lnln(x)]g'(x)=[1/lnln(x)][1/ln(x)]f'(x)=[1/lnln(
1/x再问:求写一下过程拍照再答:再问:不是是ln二次方x再答:再答:懂了么再答:再问:懂了再答:别忘了采纳最佳答案
=[1+x/(x^2+1)^(1/2)]/[x+(1+x^2)^(1/2)]
1.y‘=(e^(-5x^2))'tan3x+e^(-5x^2)(tan3x)'=-10xe^(-5x^2))'tan3x+3e^(-5x^2)(sec3x)^22.y'=cosx/(sinxlnsi
y'=1/(x+√(1+x²))*(x+√(1+x²)'(x+√(1+x²)'=1+1/[2√(1+x²)]*(1+x²)'=1+2x/[2√(1+x
Y=[LN(1-X)]^2?Y'=2LN|1-X|/(1-X)(-1)=-2LN|1-X|/(1-X)
答:y=ln(-x)y'(x)=[1/(-x)]*(-1)=1/x所以:y=ln(-x)的导数为y'(x)=1/x再问:非常感谢,,,那y=ln(3x+2)的导和y=ln(4x+2)的导分别怎么算呢?
y'=1/(tan(x/2))*(tan(x/2))'=1/(tan(x/2))*(sec^2(x/2))*(x/2)'=1/(2sin(x/2)*cos(x/2))=1/sin(x)=csc(x)
z=ln[x+a^(-y^2)],以下'表示对y求偏导,z'=[a^(-y^2)]'/[x+a^(-y^2)]=(-y^2)'a^(-y^2)lna/[x+a^(-y^2)],z'=-2ya^(-y^
y=xln³x所以y'=x'*ln³x+x*(ln³x)'=1*ln³x+x*3ln²x*(lnx)'=ln³x+x*3ln²x*
2x/(1+x^2)
y'=ln(2x^-1)'=(x/2)*2*(-1)/x^2=-1/x
y′=(3x-2)′/(3x-2)+e^(2x)·(2x)′=3/(3x-2)+2e^(2x).
复合函数求导,应用链式法则y'=dy/dx=[dy/d(x^2+sinx)]*[d(x^2+sinx)/dx]=[1/(x^2+sinx)]*(2x+cosx)故y'=(2x+cosx)/(x^2+s
y'=(a^x)'=a^xlnxy'=(x^a)'=ax^(a-1)y=(sin5x)^(lnx)y'=[(sin5x)^lnx]·ln(lnx)·(1/x)+lnx(sin5x)^(lnx-1)·5
y'=[ln(3x+5)]'=[1/(3x+5)]*(3x+5)'=3/(3x+5)