Find the Differential of the Function at the Indicated Number $$f ( x ) = 13 \sin x + 4 \cos x ; \quad x = \frac { \pi } { 4 }$$

question 17

Multiple Choice

Find the differential of the function at the indicated number. $$f ( x ) = 13 \sin x + 4 \cos x ; \quad x = \frac { \pi } { 4 }$$

• A) \(\frac { 9 \sqrt { 2 } } { 2 } d x\)
• B) \(- \frac { 17 \sqrt { 2 } } { 2 } d x\)
• C) \(\frac { 17 \sqrt { 2 } } { 2 } d x\)
• D) \(- \frac { 9 \sqrt { 2 } } { 2 } d x\)

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Definitions:

Antisocial Personality

A type of chronic mental disorder where a person's way of thinking, perceiving situations, and relating to others is dysfunctional and destructive.

Psychopaths

Individuals with a personality disorder characterized by persistent antisocial behavior, impaired empathy and remorse, and bold, disinhibited, and egotistical traits.

Sociopaths

Individuals with a personality disorder characterized by persistent antisocial behavior, impaired empathy, and often a lack of remorse.

Conduct Disorder

A mental disorder characterized by a repetitive and persistent pattern of behavior that violates the rights of others or social norms.