How do you differentiate #f(x)=1/sqrt(e^(-x^2+x) # using the chain rule? Calculus Basic Differentiation Rules Chain Rule 1 Answer Leland Adriano Alejandro Jan 13, 2016 #f' (x)=((2x-1)(e^(-x^2+x)))/(2(e^(-x^2+x))^(3/2)# Explanation: #f' (x)= (-1/2)(e^(-x^2+x))^-(3/2)*(e^(-x^2+x))(-2x+1)# 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 1229 views around the world You can reuse this answer Creative Commons License