What is the derivative of #e^(t^2)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Alan N. Aug 13, 2016 #f'(t) = 2te^(t^2)# Explanation: #f(t) = e^(t^2)# #f'(t) = e^(t^2) * d/dt(t^2)# (Chain rule) #= 2te^(t^2)# (Power rule) Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of #y= 6cos(x^2)# ? How do you find the derivative of #y=6 cos(x^3+3)# ? How do you find the derivative of #y=e^(x^2)# ? How do you find the derivative of #y=ln(sin(x))# ? How do you find the derivative of #y=ln(e^x+3)# ? How do you find the derivative of #y=tan(5x)# ? How do you find the derivative of #y= (4x-x^2)^10# ? How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule Impact of this question 16736 views around the world You can reuse this answer Creative Commons License