What is the derivative of #f(x)=ln (x^2+2)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Alexander Jul 8, 2016 Using the chain rule on #f(x) = ln(x^2+2)#, we let #u=x^2+2#, so #du=2x#, so #f'(x) = (2x)/(x^2+2)#. Explanation: We've used the definition #d/dx[ln(u)]=(du)/(u)#. 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 975 views around the world You can reuse this answer Creative Commons License