f'(t)=(sin^2e^(sin^2t))' = 2sine^(sin^2t) * (sine^(sin^2t))'
f'(t)=2sine^(sin^2t) * cose^(sin^2t) * (e^(sin^2t))'
f'(t)=2sine^(sin^2t) * cose^(sin^2t) * e^(sin^2t) *(sin^2t)'
f'(t)=2sine^(sin^2t) * cose^(sin^2t) * e^(sin^2t) * 2sint * (sint)'
f'(t)=2sine^(sin^2t) * cose^(sin^2t) * e^(sin^2t) * 2sint * cost
f'(t)=e^(sin^2t) * sin2t * sin2e^(sin^2t)