Use Implicit Differentiation to Find Dy/dx $$x ^ { 3 } + 3 x ^ { 2 } y + y ^ { 3 } = 8$$

question 433

Multiple Choice

Use implicit differentiation to find dy/dx.
- $$x ^ { 3 } + 3 x ^ { 2 } y + y ^ { 3 } = 8$$

• A) \(\frac { x ^ { 2 } + 3 x y } { x ^ { 2 } + y ^ { 2 } }\)
• B) \(- \frac { x ^ { 2 } + 2 x y } { x ^ { 2 } + y ^ { 2 } }\)
• C) \(\frac { x ^ { 2 } + 2 x y } { x ^ { 2 } + y ^ { 2 } }\)
• D) \(- \frac { x ^ { 2 } + 3 x y } { x ^ { 2 } + y ^ { 2 } }\)

Evaluate the criticisms and developments in the status attainment model.

Develop critical thinking and analytical skills by constructing and answering relevant sociological questions.

Understand the concept of opportunity cost in holding money and its calculation.

Recognize the relationship between interest rates and the quantity of money demanded.

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Definitions:

Organic Product

A substance containing carbon atoms, produced as the result of an organic chemical reaction.

Major Structure

The most stable or predominant structure among several possible structures of a molecule.

Synthetic Steps

The individual chemical reactions performed in sequence to construct a complex molecule from simpler starting materials.

Transformation

The genetic alteration of a cell by the direct uptake and expression of DNA from its surroundings.