Differentiate $f ( x ) = x ^ { 9 / 10 } - x ^ { 10 / 9 } + x ^ { - 10 / 9 }$

question 174

Multiple Choice

Differentiate $f ( x ) = x ^ { 9 / 10 } - x ^ { 10 / 9 } + x ^ { - 10 / 9 }$

• A) \(\frac { 9 } { 10 } x ^ { 4 / 5 } - \frac { 10 } { 9 } x - \frac { 10 } { 9 } x ^ { - 11 / 9 }\)
• B) \(\frac { 9 } { 10 } x ^ { - 1 / 10 } - \frac { 10 } { 9 } x ^ { 1 / 9 } - \frac { 10 } { 9 } x ^ { - 19 / 9 }\)
• C) \(\frac { 9 } { 10 } x ^ { - 1 / 10 } - \frac { 10 } { 9 } x ^ { 1 / 9 } + \frac { 10 } { 9 } x ^ { - 19 / 9 }\)
• D) \(\frac { 9 } { 10 } x ^ { 4 / 5 } - \frac { 10 } { 9 } x + \frac { 10 } { 9 } x ^ { - 11 / 9 }\)

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Definitions:

Cognitive Psychology

The field of psychology focused on examining cognitive functions such as thinking, perception, memory, and learning.

Mental Imagery

The representation of sensory information in the mind in the absence of direct input, akin to "seeing" with the mind's eye.

Dependent Variable

In an experiment, the variable that is being tested and measured, which is expected to change as a result of manipulations to the independent variable.

Operational Definition

A description of a concept solely in terms of the specific process or set of validation tests used to determine its presence and quantity.