For the Function F, Construct and Simplify the Difference Quotient $\frac { f ( x + h ) - f ( x ) } { h }$

question 62

Multiple Choice

For the function f, construct and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h }$
- $f ( x ) = 9 | x | + 4 x$

• A) -3h
• B) \(\frac { 9 | x + h | - 4 h - 9 | x | } { h }\)
• C) -5h
• D) \(\frac { - 9 | x + h | - 5 h + 9 | x | } { h }\)

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Definitions:

Cathexis

An investment of emotional significance in an activity, idea, or object.

Psychic Energy

In psychoanalytic theory, a force primarily associated with the libido or the energy of the unconscious mind.

Psycho-motor Energy

A term related to the connection between mental processing and physical movement.

Homeostasis

The process by which a living organism or system maintains stable internal conditions necessary for survival, despite changes in the external environment.