How do you differentiate #f(x)=e^(3x)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer IDKwhatName Jul 4, 2017 #f'(x)=3e^(3x)# Explanation: As you may know, if #f(x)=e^x# then #f'(x)=e^x# but if #f(x)=e^(ax)# then #f'(x)=ae^(ax)#, so if #f(x)=e^(3x)# then #f'(x)=3e^(3x)# 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 47719 views around the world You can reuse this answer Creative Commons License