What is the power rule derivative? Calculus Derivatives First Principles Example 1: x² 1 Answer mizoo Apr 3, 2018 #d/dx (x^n) = nxx x^(n-1)# Explanation: The derivative of #x^n# is # nxxx^(n-1)# Here is an example: #d/dx (x^5 + x^2) = 5x^(5-1) + 2x^(2-1) = 5x^4 + 2x# Answer link Related questions How you you find the derivative #f(x)=x^2# using First Principles? How do you differentiate #f(x) = 3#? How do you differentiate #f(x) = x^2 - 4x + 3#? Question #ae316 How do you find the derivative of #f(x) = 1/sqrt(2x-1)# by first principles? Find the derivative of #sinx# using First Principles? How would you solve this? How do we find the differential of #y=x^2+1# from first principle? Question #69fe4 How do you find derivative of Y=1/ √ 1-X from the First Principles? See all questions in First Principles Example 1: x² Impact of this question 3194 views around the world You can reuse this answer Creative Commons License