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 1538 views around the world You can reuse this answer Creative Commons License