If #f(x)= 1/x # and #g(x) = 1/x #, what is #f'(g(x)) #? Calculus Basic Differentiation Rules Chain Rule 1 Answer Shwetank Mauria Jun 17, 2016 #f'(g(x))=1# Explanation: As #f(x)=1/x# and #g(x)=1/x# #f(x)=g(x)# and #f(g(x))=f(1/x)=1/(1/x)=x# Hence, #f'(g(x))=(df)/(dg)=1# Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of #y= 6cos(x^2)# ? How do you find the derivative of #y=6 cos(x^3+3)# ? How do you find the derivative of #y=e^(x^2)# ? How do you find the derivative of #y=ln(sin(x))# ? How do you find the derivative of #y=ln(e^x+3)# ? How do you find the derivative of #y=tan(5x)# ? How do you find the derivative of #y= (4x-x^2)^10# ? How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule Impact of this question 1502 views around the world You can reuse this answer Creative Commons License