How do you find the derivative of #sqrt(x^2+2x-1)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Trevor Ryan. Mar 9, 2016 #d/dx(x^2+2x-1)^(1/2)=1/2(x^2+2x-1)^(-1/2)*(2x+2)# Explanation: We may apply the power rule to obtain #d/dx(x^2+2x-1)^(1/2)=1/2(x^2+2x-1)^(-1/2)*(2x+2)# 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 1366 views around the world You can reuse this answer Creative Commons License