How do you find the derivative of e^(1/(2x))? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Jim H Mar 30, 2015 Use d/(dx)(e^x)=e^x togerther with the chain rule to see that: d/(dx)(e^(1/(2x)))=e^(1/(2x))*d/(dx)( 1/(2x)) =e^(1/(2x))* (-1/(2x^2))= -e^(1/(2x))/(2x^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 16263 views around the world You can reuse this answer Creative Commons License