Find the derivative of f(x)=logx(e)f(x) = \log_x(e)f(x)=logx(e) for x>0,x≠1x > 0, x \neq 1x>0,x=1.
−1x(lnx)2-\frac{1}{x(\ln x)^2}−x(lnx)21
1xlnx\frac{1}{x \ln x}xlnx1
−lnxx-\frac{\ln x}{x}−xlnx
1x2\frac{1}{x^2}x21