What is the derivative of e^(-x)e−x? Calculus Basic Differentiation Rules Chain Rule 1 Answer georgef Jul 9, 2016 You have to use the chain rule Explanation: To evaluate the (e^-x)' you must calculate the (e^u)' * u', where u=-x. But, (e^u)' = e^u, and u'=-1, and then: (e^-x)'=e^-x * (-1)= -e^-x 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 1804 views around the world You can reuse this answer Creative Commons License