# How do you differentiate f(x)=csc(sqrt(x))  using the chain rule?

$f ' \left(x\right) = - \frac{\csc \sqrt{x} \cot \sqrt{x}}{2 \sqrt{x}}$
$f \left(x\right) = \csc \sqrt{x}$
$f ' \left(x\right) = - \csc \sqrt{x} \cdot \cot \sqrt{x} \cdot \frac{1}{2 \sqrt{x}}$