What is the derivative of #x^e#? Calculus Basic Differentiation Rules Power Rule 1 Answer Alexander Jul 11, 2016 #y = x^(e)#, so #y' = e*x^(e-1)# Explanation: Since #e# is just a constant, we can apply the power rule for derivatives, which tells us that #d/dx[x^n] = n*x^(n-1)#, where #n# is a constant. In this case, we have #y = x^(e)#, so #y' = e*x^(e-1)# 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 1359 views around the world You can reuse this answer Creative Commons License