What is the derivative of e^(x^2)ex2? Calculus Basic Differentiation Rules Chain Rule 1 Answer Konstantinos Michailidis May 8, 2016 The derivative of a function in the form of e^(f(x))ef(x) is e^(f(x))*df(x)/dxef(x)⋅df(x)dx Hence d(e^(x^2))/dx=2*x*e^(x^2)dex2dx=2⋅x⋅ex2 Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of y= 6cos(x^2)y=6cos(x2) ? How do you find the derivative of y=6 cos(x^3+3)y=6cos(x3+3) ? How do you find the derivative of y=e^(x^2)y=ex2 ? How do you find the derivative of y=ln(sin(x))y=ln(sin(x)) ? How do you find the derivative of y=ln(e^x+3)y=ln(ex+3) ? How do you find the derivative of y=tan(5x)y=tan(5x) ? How do you find the derivative of y= (4x-x^2)^10y=(4x−x2)10 ? How do you find the derivative of y= (x^2+3x+5)^(1/4)y=(x2+3x+5)14 ? How do you find the derivative of y= ((1+x)/(1-x))^3y=(1+x1−x)3 ? See all questions in Chain Rule Impact of this question 1412 views around the world You can reuse this answer Creative Commons License