Let 
.
Find the average rate of change of y with respect to x in the interval from 
to 
.
__________
Find the average rate of change of y with respect to x in the interval from 
to 
.
__________
Find the average rate of change of y with respect to x in the interval from 
to 
.
__________
Find the (instantaneous) rate of change of y at 
.
__________
Definitions:
Reinforced
Strengthened or emphasized, often used in the context of behaviors being increased through positive or negative reinforcement.
Animal
A living organism belonging to the kingdom Animalia, typically characterized by voluntary movement, sensory capabilities, and consumption of organic materials for energy.
Intermittent Reinforcement
A conditioning schedule in which a reward or punishment is not administered every time the desired response is performed.
Extinction
In behavioral psychology, the process through which a conditioned response decreases or disappears after the conditioned stimulus is repeatedly presented without the unconditioned stimulus.
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