If $$y = {\left| {\sin x} \right|^{\left| x \right|}}$$, then what is the value of $${{dy} \over {dx}}$$ at $$x = - {\pi \over 6}$$ ?

What is $${d \over {dx}}\sqrt {1 - \sin 2x} $$ equal to, where $${\pi \over 4} < x < {\pi \over 2}$$ ?

If $$y = {e^{{x^2}}}\sin 2x$$, then what is $${{dy} \over {dx}}$$ at x = $$\pi$$ equal to ?

What is the derivative of $${2^{{{(\sin x)}^2}}}$$ with respect to sin x?