How do you find the derivative of #f(x)=5(x+1-1/x)#? Calculus Basic Differentiation Rules Power Rule 1 Answer Astralboy · Steve M Apr 15, 2017 #f(x)=5+5x^-2# Explanation: First, distribute the #5#: #f(x)=5x+5-5/x# Rewrite #5/x# as #5x^-1# #f(x)=5x+5-5x^-1# Now use power rule: #f(x)=5+5x^-2# 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 1448 views around the world You can reuse this answer Creative Commons License