Question

How do you differentiate `sin (x/2)`?

Answer 1

`cos(x/2) * 1/2`

Explanation:

Using the chain rule;
Differentiate the outer function, and then multiply it by the inner function. In this case `sin` is the outer function and `x/2` is the inner function.

The derivative of `sin(x) = cos(x)` and the derivative of `x/2 = 1/2`.

So our final answer when differentiating `sin(x/2)` with respect to x is --> `cos(x/2) * 1/2`