$\text { Find the second derivative of the function } f ( x ) = 8 x ^ { \frac { 5 } { 9 } } \text {. }$

question 97

Multiple Choice

$\text { Find the second derivative of the function } f ( x ) = 8 x ^ { \frac { 5 } { 9 } } \text {. }$

• A)
• \(f ^ { tt } ( x ) = \frac { - 160 } { 81 } x ^ { \frac { 4 } { 9 } }\)
• B)
• \(f ^ {tt } ( x ) = \frac { 5 } { 81 } x ^ { \frac { - 13 } { 9 } }\)
• C)
• \(f ^ {tt } ( x ) = \frac { - 160 } { 81 } x ^ { \frac { - 13 } { 9 } }\)
• D)
• \(f ^ { tt } ( x ) = \frac { 160 } { 81 } x ^ { \frac { - 13 } { 9 } }\)
• E)
• \(f ^ { tt} ( x ) = 8 x ^ { \frac { - 13 } { 9 } }\)

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Definitions:

False Beliefs

Concepts or ideas that are accepted as true despite lacking evidence or logical backing.

Cognitive Therapist

A type of psychotherapist who helps patients identify and correct distorted thinking patterns that can lead to feelings and behaviors that are problematic.

Depressed Client

A person receiving therapy or counseling services who is experiencing symptoms of depression, such as persistent sadness or loss of interest in activities.

Negative Interpretations

A cognitive distortion where an individual consistently perceives situations in a more negative light than is warranted.