How do you find the derivative of sqrt(5x)√5x? Calculus Basic Differentiation Rules Chain Rule 1 Answer Topscooter Dec 20, 2015 If uu is a function, then the derivative of u^nun is n*u'*u^(n-1). We apply this here. f(x) = sqrt(5x) = (5x)^(1/2) so f'(x) = 1/2*5*(5x)^(1/2 - 1) = 5/(2sqrt(5x)). 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 1806 views around the world You can reuse this answer Creative Commons License