How do you find the derivative of # ln(1+(1/x))#?
1 Answer
Jun 26, 2017
Explanation:
#"differentiate using the "color(blue)"chain rule"#
#color(orange)"Reminder"#
#d/dx(ln(f(x)))=1/(f(x))xxf'(x)#
#rArrd/dx(ln(1+1/x))=1/(1+1/x)xxd/dx(1+x^-1)#
#=1/(1+1/x)xx-1/x^2#
#=-1/(x(x+1))#
