The chain rule and logarithms practice question 2

Where does the square sit in $\sin\!\left(x^{2}\right)$: on $x$, or on the value of $\sin x$? Test each choice against the rule for a function of a function.

$F$ is sine applied to $x^{2}$: a composition, not a product. The outer function is $\sin$, the inner function is $x^{2}$.