How do you differentiate #H(x)=(x+x^-1)^3#? Calculus Basic Differentiation Rules Power Rule 1 Answer Salvatore I. Nov 27, 2016 #H'(x)=3(x^2+1-x^(-2)-x^(-4))# Explanation: #H'(x)=3(x+x^(-1))^2*(1-x^(-2))# #H'(x)=3(x^2+2+x^(-2))*(1-x^(-2))# #H'(x)=3(x^2+2+x^(-2)-1-2x^(-2)-x^(-4))# Answer link Related questions How do you find the derivative of a polynomial? How do you find the derivative of #y =1/sqrt(x)#? How do you find the derivative of #y =4/sqrt(x)#? How do you find the derivative of #y =sqrt(2x)#? How do you find the derivative of #y =sqrt(3x)#? How do you find the derivative of #y =sqrt(x)#? How do you find the derivative of #y =sqrt(x)# using the definition of derivative? How do you find the derivative of #y =sqrt(3x+1)#? How do you find the derivative of #y =sqrt(9-x)#? How do you find the derivative of #y =sqrt(x-1)#? See all questions in Power Rule Impact of this question 7606 views around the world You can reuse this answer Creative Commons License