Find $y ^ { \prime }$ When $4 x \sin y + 5 y \ln x = 11$

question 33

Multiple Choice

Find $y ^ { \prime }$ when $4 x \sin y + 5 y \ln x = 11$

• A) \(\frac { - ( 4 x \sin y + 5 y ) } { x ( 4 x \cos y + 5 \ln x ) }\)
• B) \(\frac { - ( 4 x \sin y + y ) } { x ( 4 x \sin y + 5 \ln x ) }\)
• C) \(\frac { - ( 4 x \cos y + 5 ) } { ( 4 y \cos y + 5 x ) }\)
• D) \(\frac { - ( 5 x \sin y + 4 y ) } { ( 4 x \cos y + 5 \ln x ) }\)

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Definitions:

Proposition Statements

Sentences or assertions in logic that express judgments or opinions that can be considered true or false.

Concept Analysis

A method used in research to define, distinguish, and clarify the meaning and boundaries of a particular concept.

Instrument Development

Instrument development involves the creation and validation of tools or devices for the purpose of measurement, evaluation, or performance in various fields.

Integral Relationships

Essential connections between elements or parts that contribute to forming a whole.