Find the Derivative $$y = \frac { \sin x } { 9 x } + \frac { 9 x } { \sin x }$$

question 8

Multiple Choice

Find the derivative.
- $$y = \frac { \sin x } { 9 x } + \frac { 9 x } { \sin x }$$

• A) \(\frac { d y } { d x } = \frac { \sin x - x \cos x } { 81 x ^ { 2 } } + \frac { 9 x \cos x - 9 \sin x } { \sin ^ { 2 } x }\)
• B) \(\frac { d y } { d x } = \frac { x \cos x + \sin x } { 9 x ^ { 2 } } + \frac { 9 \sin x + 9 x \cos x } { \sin ^ { 2 } x }\)
• C) \(\frac { d y } { d x } = \frac { \cos x } { 9 } + \frac { 9 } { \cos x }\)
• D) \(\frac { d y } { d x } = \frac { x \cos x - \sin x } { 9 x ^ { 2 } } + \frac { 9 \sin x - 9 x \cos x } { \sin ^ { 2 } x }\)

Acknowledge the role of teachers' expectations and behavior in enhancing student achievement.

Recognize the characteristics and implications of separation anxiety disorder in children.

Identify and understand conduct disorders in children.

Outline the similarities between the roles of schools and parents in child development.

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