Use Implicit Differentiation to Find Dy/dx $$x y + x = 2$$

question 46

Multiple Choice

Use implicit differentiation to find dy/dx.
- $$x y + x = 2$$

• A) \(- \frac { 1 + x } { y }\)
• B) \(\frac { 1 + x } { y }\)
• C) \(- \frac { 1 + y } { x }\)
• D) \(\frac { 1 + y } { x }\)

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Definitions:

Product

A substance produced as a result of a chemical reaction, identifiable by its distinct physical and chemical properties.

Reaction Mechanism

A detailed step-by-step description of the process by which chemical reactions occur at the molecular level.

Reaction Sequence

A series of chemical reactions carried out one after another, where the product of one reaction serves as the reactant for the next.

Synthetic Synthesis

The process of artificially creating complex chemical compounds from simpler ones, often used in pharmaceuticals and materials science.