How do you find the 1st and 2nd derivative of #2e^(2x)#? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Steve M Oct 7, 2016 Using #d/dx e^(mx)=me^x# Explanation: so #d/dx 2e^(2x)=2d/dx e^(2x)=2(2e^(2x))=4e^(2x)# And so, The #d^2/dx^2 2e^(2x)=d/dx 4e^(2x)=4(2e^(2x))=8e^(2x)# Answer link Related questions What is the derivative of #y=3x^2e^(5x)# ? What is the derivative of #y=e^(3-2x)# ? What is the derivative of #f(theta)=e^(sin2theta)# ? What is the derivative of #f(x)=(e^(1/x))/x^2# ? What is the derivative of #f(x)=e^(pix)*cos(6x)# ? What is the derivative of #f(x)=x^4*e^sqrt(x)# ? What is the derivative of #f(x)=e^(-6x)+e# ? How do you find the derivative of #y=e^x#? How do you find the derivative of #y=e^(1/x)#? How do you find the derivative of #y=e^(2x)#? See all questions in Differentiating Exponential Functions with Base e Impact of this question 27384 views around the world You can reuse this answer Creative Commons License