Use Implicit Differentiation to Determine $\frac { d y } { d x }$

question 49

True/False

Use implicit differentiation to determine $\frac { d y } { d x }$ where 4 $x ^ { 3 }$ + 4xy + y = 8. Is $\frac { d y } { d x } = \frac { - 12 x ^ { 2 } - 4 y } { 4 x + 1 }$ correct?

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Definitions:

Atomic Statements

Simplest forms of statements that can neither be broken down into more elementary propositions nor contain any logical connectors.

Main Components

The most vital elements or parts that constitute a system or mechanism, essential for its functionality.

Connectives

Logical operators used in logic to connect propositions or statements, such as "and," "or," "if...then," and "not."

Main Connective

The logical function within a complex statement that dictates the entire statement's truth status.