What is the derivative of #cos(x^2)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Konstantinos Michailidis Jul 9, 2016 Set #u=x^2# hence apply chain rule to get #dy/dx=(dy/(du))*du/dx=-sinu*(2x)=-2x*sin(x^2)# 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 1303 views around the world You can reuse this answer Creative Commons License