How do you find the second derivative of #f(x)=3x^-2#? Calculus Basic Differentiation Rules Power Rule 1 Answer Andrea S. Jan 30, 2017 #d^2/(dx^2) 3x^(-2) =18x^-4# Explanation: Using the power rule: #d/(dx) 3x^(-2) = (-2)*3x^(-2-1) = -6x^(-3)# #d^2/(dx^2) 3x^(-2) = d/(dx) -6x^-3 = (-3)*(-6)x^(-3-1) =18x^-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 2676 views around the world You can reuse this answer Creative Commons License