Question

y=(x-1)/(x+1)求导求下列函数的导数 y=(x-1)/(x+1)y=(1-根号x)(1+根号x)y=（x根号x

Answer 1

y=(x-1)/(x+1)=1 - 2/(x+1)

y'=2/(x+1)^2

y=(1-√x)(1+√x)=1-x

y'=-1

y=（x根号x/三次根号x）cosx

=x^(7/6)*cosx

y'=(7/6)x^(1/6)*cosx - x^(7/6)*sinx

y=xsinx+√x = xsinx + x^(1/2)

y'=sinx+x*cosx + 1/(2√x)

y=Inx/x+1-2^x

y'=[(1/x)*(x+1)-lnx]/(x+1)^2 -2^x*ln2

=(1/x - lnx +1)/(x+1)^2 - 2^x*ln2

最后一题有歧义,给两种方式吧.

y=lnx/x + 1 - 2^x

y'=(1/x * x - lnx)/x^2 - 2^x*ln2

=(1-lnx)/x^2 - 2^x*ln2