What is the derivative of sqrt(3x+1)? Calculus Basic Differentiation Rules Chain Rule 1 Answer Sasha P. Mar 15, 2016 f'(x) = 3/(2sqrt(3x+1)) Explanation: f(x)=sqrt(3x+1) f'(x) = 1/(2sqrt(3x+1)) * (3x+1)' f'(x) = 1/(2sqrt(3x+1)) * 3 f'(x) = 3/(2sqrt(3x+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 2922 views around the world You can reuse this answer Creative Commons License