$\text { Find } \frac { d y } { d x } \text { by implicit differentiation given that } \tan ( 4 x + y ) = 4 x \text {. Use the original }$

question 49

Multiple Choice

$\text { Find } \frac { d y } { d x } \text { by implicit differentiation given that } \tan ( 4 x + y ) = 4 x \text {. Use the original }$ equation to simplify your answer.

• A) \(\frac { d y } { d x } = \frac { 4 x } { x ^ { 2 } + 1 }\)
• B) \(\frac { d y } { d x } = - \frac { 4 x ^ { 2 } } { x ^ { 2 } - 1 }\)
• C) \(\frac { d y } { d x } = \frac { 4 x ^ { 2 } } { x ^ { 2 } + 1 }\)
• D) \(\frac { d y } { d x } = - \frac { 4 x ^ { 2 } } { x ^ { 2 } + 1 }\)
• E) \(\frac { d y } { d x } = \frac { 4 x ^ { 2 } } { x ^ { 2 } - 1 }\)

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Definitions:

Secondary Storage

Technology that can store very large amounts of data for extended periods.

Data

Information collected, stored, and used for analysis or processing; can be quantitative or qualitative.

Program Instructions

Detailed steps and rules that tell a computer or system how to perform specific tasks or operations.

Primary Storage

The main storage area in a computing device, such as RAM, which is directly accessible by the CPU and stores data and applications currently in use.