What is the derivative of #sqrt(e^x)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Andrea S. Feb 15, 2017 #d/dx sqrt(e^x) = d/dx e^(x/2) = 1/2e^(x/2)= 1/2sqrt(e^x)# Explanation: 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 18931 views around the world You can reuse this answer Creative Commons License