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:

Common-sized Balance Sheet

A balance sheet in which each line item is expressed as a percentage of total assets, facilitating comparison with other companies regardless of size.

Vertical Analysis

A method of financial statement analysis in which each line item is listed as a percentage of a base figure within the statement, allowing for easy comparison and analysis of different-sized companies.

Cost Of Goods Sold

Costs directly linked to the creation of products sold by a company, including expenses for materials, labor, and overhead.

Horizontal Analysis

An analysis technique that evaluates trends over time by comparing financial statement line items or ratios across multiple periods.