Final answer:
Acetylcholine is the neurotransmitter responsible for activating sweat glands under sympathetic nervous system activation.
Step-by-step explanation:
The neurotransmitter responsible for the activation of sweat glands under sympathetic activation is Acetylcholine (ACh). Unlike most other effects of the sympathetic nervous system which use noradrenaline (norepinephrine) as the neurotransmitter, the sweat glands, specifically, respond to acetylcholine. When acetylcholine is released by postganglionic fibers of the sympathetic nervous system, it binds to muscarinic receptors associated with the sweat glands. This indicates that the correct answer is D) Acetylcholine.