How do you find the derivative of e^(x^2)? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Alan N. May 13, 2018 2xe^(x^2) Explanation: f(x) = e^(x^2) Apply chain rule and standard differential. f'(x) = e^(x^2) * d/dx(x^2) = e^(x^2) * 2x = 2xe^(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 83344 views around the world You can reuse this answer Creative Commons License