Question

How do you find the derivative of `sin^2(x/6)`?

Answer 1

Well it is

#d(sin^2(x/6))/dx=2sin(x/6)*d(sin(x/6))/dx= 2*sin(x/6)*cos(x/6)*(x/6)'= 1/3*sin(x/6)*cos(x/6)= (1/(2*3))*sin(2*x/6)= 1/6 * sin(x/3)#