The energy derived from the digestion of food is
a. kinetic energy
b. inertia
c. momentum
d. chemical energy

By definition, we have to:

Digestion is the transformation of foods that are ingested into simpler substances to be absorbed.

Digestion has different processes:

1) Mechanical processes to reduce the size of food.

2) Chemical processes to reduce the size of the particles and prepare them for absorption.

Therefore, the energy derived from the digestion process is the chemical energy.

The energy derived from the digestion of food is chemical energy.

Chemical energy

Explanation:  

Digestion is a chemical process where glucose burns in presence of oxygen producing energy which helps us to perform work and liberating carbon-dioxide and water. The carbon-dioxide is exhaled out.  

C₆H₁₂O₆ (Food) + O₂ →  CO₂ +H₂O+ Energy

Thus, through digestion chemical energy is obtained as old bonds are broken to form new bonds through a chemical process.