Calculate the Derivative $\frac { d } { d x } ( [ \ln | x | ] [ \cot ( 6 x + 5 ) ] )$

question 5

Multiple Choice

Calculate the derivative. $\frac { d } { d x } ( [ \ln | x | ] [ \cot ( 6 x + 5 ) ] )$

• A) \(\frac { \cot ( 6 x - 5 ) } { x } - 6 \ln | x | \csc ^ { 2 } ( 6 x - 5 )\)
• B) \(\frac { \cot ( 6 x + 5 ) } { x } - 6 \ln | x | \csc ^ { 2 } ( 6 x + 5 )\)
• C) \(- 6 \ln | x | \csc ^ { 2 } ( 6 x + 5 )\)
• D) \(\frac { \cot ( 6 x + 5 ) } { x }\)
• E) \(\frac { \tan ( 6 x + 5 ) } { x } - 6 \ln | x | \csc ^ { 2 } ( 6 x - 5 )\)

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Definitions:

Overcorrection

A behavioral intervention strategy involving the replacement of inappropriate behaviors with more appropriate ones through practice or restitution.

Response Cost

A behavior modification technique that involves the removal of a positive reinforcer following the occurrence of an undesirable behavior.

Classroom

A room or environment where teaching and learning activities are conducted.

Response Cost

A behavior modification technique that involves the loss of a privilege or desired item as a consequence for undesirable behavior.