What is the derivative of sqrt(5x)? Calculus Basic Differentiation Rules Chain Rule 1 Answer Nlyyildirim Jul 12, 2016 =5/(2sqrt(5x)) or sqrt5/(2sqrt(x)) Explanation: sqrt(5x)=(5x)^(1/2) d/dx(ax)^n=n*(ax)^(n-1)*a derivative of (5x)^(1/2)=1/2*(5x)^(1/2-1)*5 =5/2*(5x)^(-1/2)* =5/2*1/sqrt(5x) =5/(2sqrt(5x)) or sqrt5/(2sqrt(x)) 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 26269 views around the world You can reuse this answer Creative Commons License