How do you find the derivative of #1/x^4#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Alan N. Dec 12, 2016 #-4/x^5# Explanation: #d/dx(1/x^4) = d/dx(x^-4)# Applying the power rule: #d/dx(1/x^4) =-4* x^-5# #=-4/x^5# Answer link Related questions What is the Quotient Rule for derivatives? How do I use the quotient rule to find the derivative? How do you prove the quotient rule? How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#? How do you use the quotient rule to differentiate #y=cos(x)/ln(x)#? How do you use the quotient rule to find the derivative of #y=tan(x)# ? How do you use the quotient rule to find the derivative of #y=x/(x^2+1)# ? How do you use the quotient rule to find the derivative of #y=(e^x+1)/(e^x-1)# ? How do you use the quotient rule to find the derivative of #y=(x-sqrt(x))/(x^(1/3))# ? How do you use the quotient rule to find the derivative of #y=x/(3+e^x)# ? See all questions in Quotient Rule Impact of this question 24333 views around the world You can reuse this answer Creative Commons License