What is the derivative of #sin(x)^(1/2) #? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer ali ergin Aug 11, 2016 #d/(d x) f(x)=(cos(x))/(2*sqrt sin(x))# Explanation: #f(x)=sin(x)^(1/2)# #d/(d x) f(x)= 1/2*sin(x)^((1/2-1))*cos (x)# #d/(d x) f(x)=1/2*sin(x)^(-1/2)*cos (x) # #d/(d x) f(x)=(cos(x))/(2*sqrt sin(x))# Answer link Related questions What is the derivative of #y=cos(x)# ? What is the derivative of #y=tan(x)# ? How do you find the 108th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x)# from first principle? How do you find the derivative of #y=cos(x^2)# ? How do you find the derivative of #y=e^x cos(x)# ? How do you find the derivative of #y=x^cos(x)#? How do you find the second derivative of #y=cos(x^2)# ? How do you find the 50th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x^2)# ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 10586 views around the world You can reuse this answer Creative Commons License