Differentiation problems

Find `frac(d)(d x) sin^2 x^2`. The maximum allowed complexity of the result has been set at 13, but 10 is possible.

or

Find `frac(del)(del a) frac(ax^2)(a^2 + 1)`.

or

Find `frac(del)(del omega) frac(del)(del t) (e^(-t) sin omega t)`.

or