What is the derivative of e^(1/x)? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Gió Jul 1, 2015 I found: -e^(1/x)/x^2 Explanation: You can use the Chain Rule to deal first with e and then with 1/x: y'=e^(1/x)*(-1/x^2)=-e^(1/x)/x^2 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 3631 views around the world You can reuse this answer Creative Commons License