Question #42f0e Calculus Basic Differentiation Rules Chain Rule 1 Answer Anjali G Apr 29, 2017 y'=-sinx lnsqrtx+frac{cosx}{2x} Explanation: y=(cosx)(lnsqrtx) Using the product rule: y'=(-sinx)(lnsqrtx)+(cosx)(frac{1/2x^(-1/2)}{x^(1/2)}) y'=-sinx lnsqrtx+frac{cosx}{2x} 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 1111 views around the world You can reuse this answer Creative Commons License