How do you find the derivative of #f(x)=5x-2e^x#? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Henry W. Oct 30, 2016 #f'(x)=5-2e^x# Explanation: #f'(x)=(d(5x))/(dx)-(d(2e^x))/(dx)->#since there is only a subtraction operation, the separate parts of the function are able to be derived individually. #(d(5x))/(dx)=5->#power rule #(d(2e^x))/(dx)=2e^x->d/(dx)e^x=e^x# #:.f'(x)=5-2e^x# 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 2759 views around the world You can reuse this answer Creative Commons License