Find the Derivative of the Function $$y = ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) ^ { - 3 }$$

question 523

Multiple Choice

Find the derivative of the function.
- $$y = ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) ^ { - 3 }$$

• A) \(\frac { 2 ( x + 1 ) \left( 2 x ^ { 2 } + 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)
• B) \(\frac { 2 ( x + 1 ) \left( 2 x ^ { 2 } - 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)
• C) \(\frac { - 2 ( x + 1 ) \left( 2 x ^ { 2 } - 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)
• D) \(\frac { - 2 ( x + 1 ) \left( 2 x ^ { 2 } + 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)

Grasp the relationship between public policy and social structure from a legal perspective.

Understand terms and illegal practices in consumer services and products.

Identify requirements and protections under specific consumer rights doctrines.

Understand responsibilities and legal requirements in consumer transactions.

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Definitions:

Homozygous Recessive

A genetic condition where an individual has two copies of a recessive allele for a particular trait.

Genetic Drift

A mechanism of evolution that involves random changes in the frequency of alleles within a population across generations.

Allele Frequencies

The proportion of all copies of a gene in a particular population that are of a given allele type.

Random Sampling

A method of selecting a sample from a statistical population in which every individual has an equal chance of being chosen.