What is the derivative of #(lnx)^3#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Andrea S. Mar 13, 2018 Using the chain rule: #d/dx( (lnx)^3 ) = 3(lnx)^2 d/dx lnx = (3ln^2x)/x# Explanation: 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 1116 views around the world You can reuse this answer Creative Commons License