What is the derivative of y=e^((2x)/3)y=e2x3? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Sonnhard Jun 18, 2018 y'=2/3*e^(2/3*x) Explanation: Using that (e^x)'=e^x and the chain rule we get y'=2/3*e^(2/3x) 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 5243 views around the world You can reuse this answer Creative Commons License