How on earth do I differentiate sin^2( e^[sin^2(t)] ) ?

[Jaskaran]

Product rule? It's the same as if the exponent on the Sin was on the entire thing, right?

I get something like:

 

[BigGlenntheHeavy]

\(\displaystyle D\sub_t[{sin^{2}(e^{sin^{2}t})] = 4sin(t)cos(t)(e^{sin^{2}t})[cos(e^{sin^{2}t})][sin(e^{sin^{2}t})]\)

\(\displaystyle \mbox{Please don't ask for the integral.}\)