How do you find the derivative of #e^(1+lnx)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Monzur R. Jun 4, 2017 #d/dx(e^(1+lnx))=e# Explanation: We need #d/dx(e^(1+lnx))# First, rewrite the expression using #a^(b+c)-=a^b*a^c# #e^(1+lnx)=e^1*e^lnx=xe# #d/dx(xe)=e# #therefored/dx(e^(1+lnx))=e# 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 9161 views around the world You can reuse this answer Creative Commons License