Evaluate the Difference Quotient $\frac { f ( x ) - f ( a ) } { x - a }$

question 90

Essay

Evaluate the difference quotient $\frac { f ( x ) - f ( a ) } { x - a }$ for f(x) = $\frac { 1 } { x ^ { 2 } }$ .

---

Definitions:

Counter-Controlled Loop

A loop that uses a counter variable to control the number of times the loop executes, incrementing or decrementing with each iteration.

Comma-Separated Lists

A method of separating items in a list with commas, commonly used in programming for defining arrays or parameters, and in data formats like CSV.

Nested Loops

A loop inside another loop, used to perform repeated operations on multidimensional data structures.