What is the derivative for #f(x)=sqrt(x^2-1)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Massimiliano Apr 30, 2015 The answer is: #y'=1/(2sqrt(x^2-1))*2x=x/sqrt(x^2-1)#. 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 1246 views around the world You can reuse this answer Creative Commons License