How do you find the derivative of 2e^-x? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Henry W. Oct 31, 2016 (dy)/(dx)=-2e^-x Explanation: Recall that d/dxe^x=e^x Using chain rule, (dy)/(dx)=(dy)/(du)*(du)/(dx), Let u=-x (dy)/(du)=d/(du)2e^u=2e^u=2e^-x (du)/(dx)=d/(dx)-x=-1 :.(dy)/(dx)=-1*2e^-x=-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 9676 views around the world You can reuse this answer Creative Commons License