Question

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

Answer 1

`1/6sin(x/3)`

Explanation:

Diffrentiate the power first, followed by trigonometry and finally the index.

`d/dx(sin^2(x/6))`
`= [2 sin (x/6) cos (x/6)] (1/6)`
`=1/6 sin(x/3)`

since sin2x = 2 sinxcosx