Which of the following are produced from plant oils or animal fats?

Fatty acids are indeed produced from plant oils and animal fats. They are the building blocks of lipids and are essential components in many biological processes. Plant oils commonly contain unsaturated fatty acids, while animal fats are generally more saturated, leading to different physical properties such as melting points and textures.

Esters, while related to fatty acids, are formed through a chemical reaction between an alcohol and a fatty acid. They are not directly produced from the oils or fats themselves. Silicones are synthetic compounds derived from silicon, rather than from any plant or animal sources. Emulsifiers are substances that help to blend water with oils and fats, but they can be made from various materials, including synthetic sources, rather than being products of plant oils or animal fats specifically. Therefore, the most accurate choice regarding direct production from those sources is fatty acids.