$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$

question 111

Multiple Choice

$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$
- $f ( x ) = \frac { 2 } { x + 1 }$

• A) \(\frac { - 2 } { a ( a + h + 1 ) }\)
• B) \(\frac { - 2 } { ( a + 1 ) ( a + h + 1 ) }\)
• C) \(\frac { - 2 } { ( a + 1 ) ( a + h ) }\)
• D) \(\frac { - 2 } { a ( a + h ) }\)

---

Definitions:

Les Très Riches Heures

A highly ornate Gothic illuminated manuscript known as one of the most important examples of International Gothic art, created by the Limbourg brothers in the early 15th century.

Manuscripts

Handwritten documents or texts, especially those of historical, literary, or religious significance, before the invention of printing.

Panel Paintings

Artistic works created on a flat panel made of wood, canvas, or other durable material, often used for depicting religious scenes or portraits from the Middle Ages onwards.

Painters' Guild

An association of artists, particularly painters, in a particular town or city, organized during the medieval and Renaissance periods for mutual support and the regulation of their craft.