Question

find the derivative using the chain rule (attached)

Answer 1

\[f(\theta) = \frac{ 1 }{ 4 }\sin ^22\theta\]

Answer 2

\[(1/4)\sin^2(2\theta)=(1/4)(\sin(2\theta))^2\]
It might help to visualize the function like this, so you can effectively see what the outermost function is.
Because when you differentiate you want to go from the outside inward :D
So what is your outermost function?

Answer 3

what do you mean by that? uhmmm 1/2sin2θ?

Answer 4

The outermost function is the square, something being squared, see it? :D

Answer 5

wait. no. 1/2cos2θ?