Question

What is the derivative of this function `sin (x/2)`?

Answer 1

`1/2cos(x/2)` apply the chain rule and the derivatives of trig functions.

Explanation:

`F(x)=f'(g(x))*g'(x)` is the chain rule and the derivative of `sinx` is `cosx` but we have a more complicated function inside the function, hence the chain rule.
`F(x)=cos(x/2)*d/dx(1/2*x)`