What are the critical points of f(x) =e^x-x^2e^(x^2)? Calculus Graphing with the First Derivative Identifying Stationary Points (Critical Points) for a Function 1 Answer Lithia Jul 24, 2017 f'(x) = e^x -2xe^(x^2) + e^x(2xe^(x^2)) Explanation: (e^x)' = e^x (e^u)' = e^u*u' f(x) = e^x - x^2*e^(x^2) use the Product Rule f'g + fg' for x^2*e^(x^2) f'(x) = e^x - (2x)(e^(x^2))+(e^x)(2xe^(x^2)) f'(x) = e^x -2xe^(x^2) + e^x(2xe^(x^2)) Answer link Related questions How do you find the stationary points of a curve? How do you find the stationary points of a function? How many stationary points can a cubic function have? How do you find the stationary points of the function y=x^2+6x+1? How do you find the stationary points of the function y=cos(x)? How do I find all the critical points of f(x)=(x-1)^2? Let h(x) = e^(-x) + kx, where k is any constant. For what value(s) of k does h have... How do you find the critical points for f(x)=8x^3+2x^2-5x+3? How do you find values of k for which there are no critical points if h(x)=e^(-x)+kx where k... How do you determine critical points for any polynomial? See all questions in Identifying Stationary Points (Critical Points) for a Function Impact of this question 1703 views around the world You can reuse this answer Creative Commons License